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Finding the Fourth Proportional to 1,585.61, 2,378.87 and 661.60

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Solution

The fourth proportional to 1,585.61, 2,378.87 and 661.60 is: 992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.61 : 2,378.87 = 661.60 : x
  2. Step 2: Convert to fraction form
    1,585.61/2,378.87 = 661.60/x
  3. Step 3: Cross multiply
    1,585.61x = 2,378.87 × 661.60
  4. Step 4: Simplify right side
    1,585.61x = 1,573,862.54
  5. Step 5: Solve for x
    x = 1,573,862.54/1,585.61
  6. Step 6: Final answer
    x = 992.59

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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.