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Finding the Fourth Proportional to 525.12, 788.06 and 294.20

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Solution

The fourth proportional to 525.12, 788.06 and 294.20 is: 441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.12 : 788.06 = 294.20 : x
  2. Step 2: Convert to fraction form
    525.12/788.06 = 294.20/x
  3. Step 3: Cross multiply
    525.12x = 788.06 × 294.20
  4. Step 4: Simplify right side
    525.12x = 231,841.84
  5. Step 5: Solve for x
    x = 231,841.84/525.12
  6. Step 6: Final answer
    x = 441.50

Related Problems

Find fourth proportional to 262.56, 394.03 and 147.10
Half scale
Find fourth proportional to 1,050.24, 1,576.11 and 588.39
Double scale
Find fourth proportional to 526.12, 789.56 and 295.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.