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Finding the Fourth Proportional to 1,140.18, 1,566.63 and 906.90

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Solution

The fourth proportional to 1,140.18, 1,566.63 and 906.90 is: 1,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,566.63 = 906.90 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,566.63 = 906.90/x
  3. Step 3: Cross multiply
    1,140.18x = 1,566.63 × 906.90
  4. Step 4: Simplify right side
    1,140.18x = 1,420,776.75
  5. Step 5: Solve for x
    x = 1,420,776.75/1,140.18
  6. Step 6: Final answer
    x = 1,246.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.