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Finding the Fourth Proportional to 977.32, 1,463.60 and 565.60

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Solution

The fourth proportional to 977.32, 1,463.60 and 565.60 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,463.60 = 565.60 : x
  2. Step 2: Convert to fraction form
    977.32/1,463.60 = 565.60/x
  3. Step 3: Cross multiply
    977.32x = 1,463.60 × 565.60
  4. Step 4: Simplify right side
    977.32x = 827,812.16
  5. Step 5: Solve for x
    x = 827,812.16/977.32
  6. Step 6: Final answer
    x = 847.02

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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.