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Finding the Fourth Proportional to 877.71, 1,315.50 and 414.59

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Solution

The fourth proportional to 877.71, 1,315.50 and 414.59 is: 621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.71 : 1,315.50 = 414.59 : x
  2. Step 2: Convert to fraction form
    877.71/1,315.50 = 414.59/x
  3. Step 3: Cross multiply
    877.71x = 1,315.50 × 414.59
  4. Step 4: Simplify right side
    877.71x = 545,386.57
  5. Step 5: Solve for x
    x = 545,386.57/877.71
  6. Step 6: Final answer
    x = 621.37

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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.