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Finding the Fourth Proportional to 926.79, 1,280.02 and 631.55

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Solution

The fourth proportional to 926.79, 1,280.02 and 631.55 is: 872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.79 : 1,280.02 = 631.55 : x
  2. Step 2: Convert to fraction form
    926.79/1,280.02 = 631.55/x
  3. Step 3: Cross multiply
    926.79x = 1,280.02 × 631.55
  4. Step 4: Simplify right side
    926.79x = 808,396.63
  5. Step 5: Solve for x
    x = 808,396.63/926.79
  6. Step 6: Final answer
    x = 872.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.