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Finding the Fourth Proportional to 1,756.75, 2,630.89 and 974.90

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Solution

The fourth proportional to 1,756.75, 2,630.89 and 974.90 is: 1,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.75 : 2,630.89 = 974.90 : x
  2. Step 2: Convert to fraction form
    1,756.75/2,630.89 = 974.90/x
  3. Step 3: Cross multiply
    1,756.75x = 2,630.89 × 974.90
  4. Step 4: Simplify right side
    1,756.75x = 2,564,854.66
  5. Step 5: Solve for x
    x = 2,564,854.66/1,756.75
  6. Step 6: Final answer
    x = 1,460.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.