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Finding the Fourth Proportional to 1,587.68, 2,383.05 and 766.53

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Solution

The fourth proportional to 1,587.68, 2,383.05 and 766.53 is: 1,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.68 : 2,383.05 = 766.53 : x
  2. Step 2: Convert to fraction form
    1,587.68/2,383.05 = 766.53/x
  3. Step 3: Cross multiply
    1,587.68x = 2,383.05 × 766.53
  4. Step 4: Simplify right side
    1,587.68x = 1,826,663.57
  5. Step 5: Solve for x
    x = 1,826,663.57/1,587.68
  6. Step 6: Final answer
    x = 1,150.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.