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Finding the Fourth Proportional to 557.64, 767.76 and 459.24

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Solution

The fourth proportional to 557.64, 767.76 and 459.24 is: 632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.64 : 767.76 = 459.24 : x
  2. Step 2: Convert to fraction form
    557.64/767.76 = 459.24/x
  3. Step 3: Cross multiply
    557.64x = 767.76 × 459.24
  4. Step 4: Simplify right side
    557.64x = 352,586.10
  5. Step 5: Solve for x
    x = 352,586.10/557.64
  6. Step 6: Final answer
    x = 632.28

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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.