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Finding the Fourth Proportional to 500.42, 689.28 and 459.02

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Solution

The fourth proportional to 500.42, 689.28 and 459.02 is: 632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.42 : 689.28 = 459.02 : x
  2. Step 2: Convert to fraction form
    500.42/689.28 = 459.02/x
  3. Step 3: Cross multiply
    500.42x = 689.28 × 459.02
  4. Step 4: Simplify right side
    500.42x = 316,393.31
  5. Step 5: Solve for x
    x = 316,393.31/500.42
  6. Step 6: Final answer
    x = 632.26

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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.