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Finding the Fourth Proportional to 1,545.80, 2,316.53 and 852.79

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Solution

The fourth proportional to 1,545.80, 2,316.53 and 852.79 is: 1,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.80 : 2,316.53 = 852.79 : x
  2. Step 2: Convert to fraction form
    1,545.80/2,316.53 = 852.79/x
  3. Step 3: Cross multiply
    1,545.80x = 2,316.53 × 852.79
  4. Step 4: Simplify right side
    1,545.80x = 1,975,513.62
  5. Step 5: Solve for x
    x = 1,975,513.62/1,545.80
  6. Step 6: Final answer
    x = 1,277.99

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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.