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Finding the Fourth Proportional to 973.68, 1,459.31 and 486.87

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Solution

The fourth proportional to 973.68, 1,459.31 and 486.87 is: 729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.68 : 1,459.31 = 486.87 : x
  2. Step 2: Convert to fraction form
    973.68/1,459.31 = 486.87/x
  3. Step 3: Cross multiply
    973.68x = 1,459.31 × 486.87
  4. Step 4: Simplify right side
    973.68x = 710,491.83
  5. Step 5: Solve for x
    x = 710,491.83/973.68
  6. Step 6: Final answer
    x = 729.70

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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.