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Finding the Fourth Proportional to 1,113.40, 1,677.62 and 922.65

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Solution

The fourth proportional to 1,113.40, 1,677.62 and 922.65 is: 1,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.40 : 1,677.62 = 922.65 : x
  2. Step 2: Convert to fraction form
    1,113.40/1,677.62 = 922.65/x
  3. Step 3: Cross multiply
    1,113.40x = 1,677.62 × 922.65
  4. Step 4: Simplify right side
    1,113.40x = 1,547,856.09
  5. Step 5: Solve for x
    x = 1,547,856.09/1,113.40
  6. Step 6: Final answer
    x = 1,390.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.