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Finding the Fourth Proportional to 1,062.50, 1,587.21 and 767.48

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Solution

The fourth proportional to 1,062.50, 1,587.21 and 767.48 is: 1,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.50 : 1,587.21 = 767.48 : x
  2. Step 2: Convert to fraction form
    1,062.50/1,587.21 = 767.48/x
  3. Step 3: Cross multiply
    1,062.50x = 1,587.21 × 767.48
  4. Step 4: Simplify right side
    1,062.50x = 1,218,154.36
  5. Step 5: Solve for x
    x = 1,218,154.36/1,062.50
  6. Step 6: Final answer
    x = 1,146.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.