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Finding the Fourth Proportional to 972.90, 1,459.94 and 387.80

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Solution

The fourth proportional to 972.90, 1,459.94 and 387.80 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,459.94 = 387.80 : x
  2. Step 2: Convert to fraction form
    972.90/1,459.94 = 387.80/x
  3. Step 3: Cross multiply
    972.90x = 1,459.94 × 387.80
  4. Step 4: Simplify right side
    972.90x = 566,155.49
  5. Step 5: Solve for x
    x = 566,155.49/972.90
  6. Step 6: Final answer
    x = 581.93

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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.