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Finding the Fourth Proportional to 1,121.58, 1,547.87 and 624.35

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Solution

The fourth proportional to 1,121.58, 1,547.87 and 624.35 is: 861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.58 : 1,547.87 = 624.35 : x
  2. Step 2: Convert to fraction form
    1,121.58/1,547.87 = 624.35/x
  3. Step 3: Cross multiply
    1,121.58x = 1,547.87 × 624.35
  4. Step 4: Simplify right side
    1,121.58x = 966,401.77
  5. Step 5: Solve for x
    x = 966,401.77/1,121.58
  6. Step 6: Final answer
    x = 861.64

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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.