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Finding the Fourth Proportional to 874.64, 1,317.14 and 632.86

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Solution

The fourth proportional to 874.64, 1,317.14 and 632.86 is: 953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.64 : 1,317.14 = 632.86 : x
  2. Step 2: Convert to fraction form
    874.64/1,317.14 = 632.86/x
  3. Step 3: Cross multiply
    874.64x = 1,317.14 × 632.86
  4. Step 4: Simplify right side
    874.64x = 833,565.22
  5. Step 5: Solve for x
    x = 833,565.22/874.64
  6. Step 6: Final answer
    x = 953.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.