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Finding the Fourth Proportional to 807.29, 1,217.16 and 646.91

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Solution

The fourth proportional to 807.29, 1,217.16 and 646.91 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.29 : 1,217.16 = 646.91 : x
  2. Step 2: Convert to fraction form
    807.29/1,217.16 = 646.91/x
  3. Step 3: Cross multiply
    807.29x = 1,217.16 × 646.91
  4. Step 4: Simplify right side
    807.29x = 787,386.89
  5. Step 5: Solve for x
    x = 787,386.89/807.29
  6. Step 6: Final answer
    x = 975.35

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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.