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Finding the Fourth Proportional to 432.65, 645.63 and 386.50

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Solution

The fourth proportional to 432.65, 645.63 and 386.50 is: 576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.65 : 645.63 = 386.50 : x
  2. Step 2: Convert to fraction form
    432.65/645.63 = 386.50/x
  3. Step 3: Cross multiply
    432.65x = 645.63 × 386.50
  4. Step 4: Simplify right side
    432.65x = 249,536.00
  5. Step 5: Solve for x
    x = 249,536.00/432.65
  6. Step 6: Final answer
    x = 576.76

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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.