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Finding the Fourth Proportional to 973.68, 1,459.21 and 534.27

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Solution

The fourth proportional to 973.68, 1,459.21 and 534.27 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.68 : 1,459.21 = 534.27 : x
  2. Step 2: Convert to fraction form
    973.68/1,459.21 = 534.27/x
  3. Step 3: Cross multiply
    973.68x = 1,459.21 × 534.27
  4. Step 4: Simplify right side
    973.68x = 779,612.13
  5. Step 5: Solve for x
    x = 779,612.13/973.68
  6. Step 6: Final answer
    x = 800.69

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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.