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Finding the Fourth Proportional to 432.91, 597.10 and 418.63

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Solution

The fourth proportional to 432.91, 597.10 and 418.63 is: 577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.91 : 597.10 = 418.63 : x
  2. Step 2: Convert to fraction form
    432.91/597.10 = 418.63/x
  3. Step 3: Cross multiply
    432.91x = 597.10 × 418.63
  4. Step 4: Simplify right side
    432.91x = 249,963.97
  5. Step 5: Solve for x
    x = 249,963.97/432.91
  6. Step 6: Final answer
    x = 577.40

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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.