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Finding the Fourth Proportional to 987.57, 1,364.45 and 977.85

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Solution

The fourth proportional to 987.57, 1,364.45 and 977.85 is: 1,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.57 : 1,364.45 = 977.85 : x
  2. Step 2: Convert to fraction form
    987.57/1,364.45 = 977.85/x
  3. Step 3: Cross multiply
    987.57x = 1,364.45 × 977.85
  4. Step 4: Simplify right side
    987.57x = 1,334,218.71
  5. Step 5: Solve for x
    x = 1,334,218.71/987.57
  6. Step 6: Final answer
    x = 1,351.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.