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Finding the Fourth Proportional to 929.32, 1,280.77 and 902.66

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Solution

The fourth proportional to 929.32, 1,280.77 and 902.66 is: 1,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.32 : 1,280.77 = 902.66 : x
  2. Step 2: Convert to fraction form
    929.32/1,280.77 = 902.66/x
  3. Step 3: Cross multiply
    929.32x = 1,280.77 × 902.66
  4. Step 4: Simplify right side
    929.32x = 1,156,100.79
  5. Step 5: Solve for x
    x = 1,156,100.79/929.32
  6. Step 6: Final answer
    x = 1,244.03

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1.5x scale

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.