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Finding the Fourth Proportional to 1,240.95, 1,862.15 and 471.99

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Solution

The fourth proportional to 1,240.95, 1,862.15 and 471.99 is: 708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.95 : 1,862.15 = 471.99 : x
  2. Step 2: Convert to fraction form
    1,240.95/1,862.15 = 471.99/x
  3. Step 3: Cross multiply
    1,240.95x = 1,862.15 × 471.99
  4. Step 4: Simplify right side
    1,240.95x = 878,916.18
  5. Step 5: Solve for x
    x = 878,916.18/1,240.95
  6. Step 6: Final answer
    x = 708.26

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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.