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Finding the Fourth Proportional to 1,585.93, 2,378.74 and 545.83

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Solution

The fourth proportional to 1,585.93, 2,378.74 and 545.83 is: 818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.93 : 2,378.74 = 545.83 : x
  2. Step 2: Convert to fraction form
    1,585.93/2,378.74 = 545.83/x
  3. Step 3: Cross multiply
    1,585.93x = 2,378.74 × 545.83
  4. Step 4: Simplify right side
    1,585.93x = 1,298,373.03
  5. Step 5: Solve for x
    x = 1,298,373.03/1,585.93
  6. Step 6: Final answer
    x = 818.69

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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.