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Finding the Fourth Proportional to 977.01, 1,464.49 and 560.01

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Solution

The fourth proportional to 977.01, 1,464.49 and 560.01 is: 839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.01 : 1,464.49 = 560.01 : x
  2. Step 2: Convert to fraction form
    977.01/1,464.49 = 560.01/x
  3. Step 3: Cross multiply
    977.01x = 1,464.49 × 560.01
  4. Step 4: Simplify right side
    977.01x = 820,129.04
  5. Step 5: Solve for x
    x = 820,129.04/977.01
  6. Step 6: Final answer
    x = 839.43

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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.