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Finding the Fourth Proportional to 978.38, 1,467.92 and 430.50

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Solution

The fourth proportional to 978.38, 1,467.92 and 430.50 is: 645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.38 : 1,467.92 = 430.50 : x
  2. Step 2: Convert to fraction form
    978.38/1,467.92 = 430.50/x
  3. Step 3: Cross multiply
    978.38x = 1,467.92 × 430.50
  4. Step 4: Simplify right side
    978.38x = 631,935.13
  5. Step 5: Solve for x
    x = 631,935.13/978.38
  6. Step 6: Final answer
    x = 645.90

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Why These Related Problems?

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