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Finding the Fourth Proportional to 601.86, 830.46 and 353.19

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Solution

The fourth proportional to 601.86, 830.46 and 353.19 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.86 : 830.46 = 353.19 : x
  2. Step 2: Convert to fraction form
    601.86/830.46 = 353.19/x
  3. Step 3: Cross multiply
    601.86x = 830.46 × 353.19
  4. Step 4: Simplify right side
    601.86x = 293,310.17
  5. Step 5: Solve for x
    x = 293,310.17/601.86
  6. Step 6: Final answer
    x = 487.34

Related Problems

Find fourth proportional to 300.93, 415.23 and 176.60
Half scale
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Double scale
Find fourth proportional to 602.86, 831.84 and 354.19
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.