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Finding the Fourth Proportional to 526.75, 725.71 and 416.19

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Solution

The fourth proportional to 526.75, 725.71 and 416.19 is: 573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 725.71 = 416.19 : x
  2. Step 2: Convert to fraction form
    526.75/725.71 = 416.19/x
  3. Step 3: Cross multiply
    526.75x = 725.71 × 416.19
  4. Step 4: Simplify right side
    526.75x = 302,033.24
  5. Step 5: Solve for x
    x = 302,033.24/526.75
  6. Step 6: Final answer
    x = 573.39

Related Problems

Find fourth proportional to 263.38, 362.86 and 208.10
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.