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Finding the Fourth Proportional to 432.65, 646.66 and 354.76

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Solution

The fourth proportional to 432.65, 646.66 and 354.76 is: 530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.65 : 646.66 = 354.76 : x
  2. Step 2: Convert to fraction form
    432.65/646.66 = 354.76/x
  3. Step 3: Cross multiply
    432.65x = 646.66 × 354.76
  4. Step 4: Simplify right side
    432.65x = 229,409.10
  5. Step 5: Solve for x
    x = 229,409.10/432.65
  6. Step 6: Final answer
    x = 530.24

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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.