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Finding the Fourth Proportional to 972.53, 1,459.35 and 387.58

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Solution

The fourth proportional to 972.53, 1,459.35 and 387.58 is: 581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.53 : 1,459.35 = 387.58 : x
  2. Step 2: Convert to fraction form
    972.53/1,459.35 = 387.58/x
  3. Step 3: Cross multiply
    972.53x = 1,459.35 × 387.58
  4. Step 4: Simplify right side
    972.53x = 565,616.70
  5. Step 5: Solve for x
    x = 565,616.70/972.53
  6. Step 6: Final answer
    x = 581.60

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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.