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Finding the Fourth Proportional to 1,545.15, 2,317.98 and 765.18

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Solution

The fourth proportional to 1,545.15, 2,317.98 and 765.18 is: 1,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.15 : 2,317.98 = 765.18 : x
  2. Step 2: Convert to fraction form
    1,545.15/2,317.98 = 765.18/x
  3. Step 3: Cross multiply
    1,545.15x = 2,317.98 × 765.18
  4. Step 4: Simplify right side
    1,545.15x = 1,773,681.36
  5. Step 5: Solve for x
    x = 1,773,681.36/1,545.15
  6. Step 6: Final answer
    x = 1,147.90

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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.