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Finding the Fourth Proportional to 655.16, 903.46 and 434.12

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Solution

The fourth proportional to 655.16, 903.46 and 434.12 is: 598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 903.46 = 434.12 : x
  2. Step 2: Convert to fraction form
    655.16/903.46 = 434.12/x
  3. Step 3: Cross multiply
    655.16x = 903.46 × 434.12
  4. Step 4: Simplify right side
    655.16x = 392,210.06
  5. Step 5: Solve for x
    x = 392,210.06/655.16
  6. Step 6: Final answer
    x = 598.65

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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.