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Finding the Fourth Proportional to 432.71, 645.75 and 386.58

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Solution

The fourth proportional to 432.71, 645.75 and 386.58 is: 576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 645.75 = 386.58 : x
  2. Step 2: Convert to fraction form
    432.71/645.75 = 386.58/x
  3. Step 3: Cross multiply
    432.71x = 645.75 × 386.58
  4. Step 4: Simplify right side
    432.71x = 249,630.16
  5. Step 5: Solve for x
    x = 249,630.16/432.71
  6. Step 6: Final answer
    x = 576.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.