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Finding the Fourth Proportional to 928.16, 1,280.70 and 555.29

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Solution

The fourth proportional to 928.16, 1,280.70 and 555.29 is: 766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.16 : 1,280.70 = 555.29 : x
  2. Step 2: Convert to fraction form
    928.16/1,280.70 = 555.29/x
  3. Step 3: Cross multiply
    928.16x = 1,280.70 × 555.29
  4. Step 4: Simplify right side
    928.16x = 711,153.50
  5. Step 5: Solve for x
    x = 711,153.50/928.16
  6. Step 6: Final answer
    x = 766.20

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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.