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Finding the Fourth Proportional to 652.30, 978.99 and 508.93

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Solution

The fourth proportional to 652.30, 978.99 and 508.93 is: 763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.30 : 978.99 = 508.93 : x
  2. Step 2: Convert to fraction form
    652.30/978.99 = 508.93/x
  3. Step 3: Cross multiply
    652.30x = 978.99 × 508.93
  4. Step 4: Simplify right side
    652.30x = 498,237.38
  5. Step 5: Solve for x
    x = 498,237.38/652.30
  6. Step 6: Final answer
    x = 763.82

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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.