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Finding the Fourth Proportional to 973.59, 1,459.47 and 426.09

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Solution

The fourth proportional to 973.59, 1,459.47 and 426.09 is: 638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.59 : 1,459.47 = 426.09 : x
  2. Step 2: Convert to fraction form
    973.59/1,459.47 = 426.09/x
  3. Step 3: Cross multiply
    973.59x = 1,459.47 × 426.09
  4. Step 4: Simplify right side
    973.59x = 621,865.57
  5. Step 5: Solve for x
    x = 621,865.57/973.59
  6. Step 6: Final answer
    x = 638.73

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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.