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Finding the Fourth Proportional to 877.91, 1,317.13 and 526.90

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Solution

The fourth proportional to 877.91, 1,317.13 and 526.90 is: 790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.91 : 1,317.13 = 526.90 : x
  2. Step 2: Convert to fraction form
    877.91/1,317.13 = 526.90/x
  3. Step 3: Cross multiply
    877.91x = 1,317.13 × 526.90
  4. Step 4: Simplify right side
    877.91x = 694,000.57
  5. Step 5: Solve for x
    x = 694,000.57/877.91
  6. Step 6: Final answer
    x = 790.52

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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.