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Finding the Fourth Proportional to 430.48, 646.76 and 354.64

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Solution

The fourth proportional to 430.48, 646.76 and 354.64 is: 532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.48 : 646.76 = 354.64 : x
  2. Step 2: Convert to fraction form
    430.48/646.76 = 354.64/x
  3. Step 3: Cross multiply
    430.48x = 646.76 × 354.64
  4. Step 4: Simplify right side
    430.48x = 229,366.97
  5. Step 5: Solve for x
    x = 229,366.97/430.48
  6. Step 6: Final answer
    x = 532.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.