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Finding the Fourth Proportional to 1,585.60, 2,378.56 and 545.47

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Solution

The fourth proportional to 1,585.60, 2,378.56 and 545.47 is: 818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.60 : 2,378.56 = 545.47 : x
  2. Step 2: Convert to fraction form
    1,585.60/2,378.56 = 545.47/x
  3. Step 3: Cross multiply
    1,585.60x = 2,378.56 × 545.47
  4. Step 4: Simplify right side
    1,585.60x = 1,297,433.12
  5. Step 5: Solve for x
    x = 1,297,433.12/1,585.60
  6. Step 6: Final answer
    x = 818.26

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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.