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Finding the Fourth Proportional to 862.90, 1,292.51 and 602.28

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Solution

The fourth proportional to 862.90, 1,292.51 and 602.28 is: 902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.90 : 1,292.51 = 602.28 : x
  2. Step 2: Convert to fraction form
    862.90/1,292.51 = 602.28/x
  3. Step 3: Cross multiply
    862.90x = 1,292.51 × 602.28
  4. Step 4: Simplify right side
    862.90x = 778,454.43
  5. Step 5: Solve for x
    x = 778,454.43/862.90
  6. Step 6: Final answer
    x = 902.14

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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.