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Finding the Fourth Proportional to 1,121.66, 1,547.88 and 624.30

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Solution

The fourth proportional to 1,121.66, 1,547.88 and 624.30 is: 861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.66 : 1,547.88 = 624.30 : x
  2. Step 2: Convert to fraction form
    1,121.66/1,547.88 = 624.30/x
  3. Step 3: Cross multiply
    1,121.66x = 1,547.88 × 624.30
  4. Step 4: Simplify right side
    1,121.66x = 966,341.48
  5. Step 5: Solve for x
    x = 966,341.48/1,121.66
  6. Step 6: Final answer
    x = 861.53

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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.