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Finding the Fourth Proportional to 1,000.16, 1,380.28 and 558.10

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Solution

The fourth proportional to 1,000.16, 1,380.28 and 558.10 is: 770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.16 : 1,380.28 = 558.10 : x
  2. Step 2: Convert to fraction form
    1,000.16/1,380.28 = 558.10/x
  3. Step 3: Cross multiply
    1,000.16x = 1,380.28 × 558.10
  4. Step 4: Simplify right side
    1,000.16x = 770,334.27
  5. Step 5: Solve for x
    x = 770,334.27/1,000.16
  6. Step 6: Final answer
    x = 770.21

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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.