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Finding the Fourth Proportional to 1,142.76, 1,576.98 and 645.45

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Solution

The fourth proportional to 1,142.76, 1,576.98 and 645.45 is: 890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.76 : 1,576.98 = 645.45 : x
  2. Step 2: Convert to fraction form
    1,142.76/1,576.98 = 645.45/x
  3. Step 3: Cross multiply
    1,142.76x = 1,576.98 × 645.45
  4. Step 4: Simplify right side
    1,142.76x = 1,017,861.74
  5. Step 5: Solve for x
    x = 1,017,861.74/1,142.76
  6. Step 6: Final answer
    x = 890.70

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1.5x scale

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.