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Finding the Fourth Proportional to 973.38, 1,459.65 and 425.91

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Solution

The fourth proportional to 973.38, 1,459.65 and 425.91 is: 638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.38 : 1,459.65 = 425.91 : x
  2. Step 2: Convert to fraction form
    973.38/1,459.65 = 425.91/x
  3. Step 3: Cross multiply
    973.38x = 1,459.65 × 425.91
  4. Step 4: Simplify right side
    973.38x = 621,679.53
  5. Step 5: Solve for x
    x = 621,679.53/973.38
  6. Step 6: Final answer
    x = 638.68

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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.