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Finding the Fourth Proportional to 1,000.23, 1,492.63 and 891.15

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Solution

The fourth proportional to 1,000.23, 1,492.63 and 891.15 is: 1,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.23 : 1,492.63 = 891.15 : x
  2. Step 2: Convert to fraction form
    1,000.23/1,492.63 = 891.15/x
  3. Step 3: Cross multiply
    1,000.23x = 1,492.63 × 891.15
  4. Step 4: Simplify right side
    1,000.23x = 1,330,155.00
  5. Step 5: Solve for x
    x = 1,330,155.00/1,000.23
  6. Step 6: Final answer
    x = 1,329.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.