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Finding the Fourth Proportional to 520.34, 715.61 and 414.18

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Solution

The fourth proportional to 520.34, 715.61 and 414.18 is: 569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.34 : 715.61 = 414.18 : x
  2. Step 2: Convert to fraction form
    520.34/715.61 = 414.18/x
  3. Step 3: Cross multiply
    520.34x = 715.61 × 414.18
  4. Step 4: Simplify right side
    520.34x = 296,391.35
  5. Step 5: Solve for x
    x = 296,391.35/520.34
  6. Step 6: Final answer
    x = 569.61

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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.