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Finding the Fourth Proportional to 977.12, 1,464.72 and 591.68

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Solution

The fourth proportional to 977.12, 1,464.72 and 591.68 is: 886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,464.72 = 591.68 : x
  2. Step 2: Convert to fraction form
    977.12/1,464.72 = 591.68/x
  3. Step 3: Cross multiply
    977.12x = 1,464.72 × 591.68
  4. Step 4: Simplify right side
    977.12x = 866,645.53
  5. Step 5: Solve for x
    x = 866,645.53/977.12
  6. Step 6: Final answer
    x = 886.94

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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.