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Finding the Fourth Proportional to 977.47, 1,465.17 and 360.78

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Solution

The fourth proportional to 977.47, 1,465.17 and 360.78 is: 540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.47 : 1,465.17 = 360.78 : x
  2. Step 2: Convert to fraction form
    977.47/1,465.17 = 360.78/x
  3. Step 3: Cross multiply
    977.47x = 1,465.17 × 360.78
  4. Step 4: Simplify right side
    977.47x = 528,605.39
  5. Step 5: Solve for x
    x = 528,605.39/977.47
  6. Step 6: Final answer
    x = 540.79

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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.