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Finding the Fourth Proportional to 660.27, 910.55 and 424.29

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Solution

The fourth proportional to 660.27, 910.55 and 424.29 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.27 : 910.55 = 424.29 : x
  2. Step 2: Convert to fraction form
    660.27/910.55 = 424.29/x
  3. Step 3: Cross multiply
    660.27x = 910.55 × 424.29
  4. Step 4: Simplify right side
    660.27x = 386,337.26
  5. Step 5: Solve for x
    x = 386,337.26/660.27
  6. Step 6: Final answer
    x = 585.12

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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.