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Finding the Fourth Proportional to 929.22, 1,280.15 and 648.96

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Solution

The fourth proportional to 929.22, 1,280.15 and 648.96 is: 894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,280.15 = 648.96 : x
  2. Step 2: Convert to fraction form
    929.22/1,280.15 = 648.96/x
  3. Step 3: Cross multiply
    929.22x = 1,280.15 × 648.96
  4. Step 4: Simplify right side
    929.22x = 830,762.90
  5. Step 5: Solve for x
    x = 830,762.90/929.22
  6. Step 6: Final answer
    x = 894.04

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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.