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Finding the Fourth Proportional to 1,143.65, 1,715.48 and 656.30

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Solution

The fourth proportional to 1,143.65, 1,715.48 and 656.30 is: 984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.65 : 1,715.48 = 656.30 : x
  2. Step 2: Convert to fraction form
    1,143.65/1,715.48 = 656.30/x
  3. Step 3: Cross multiply
    1,143.65x = 1,715.48 × 656.30
  4. Step 4: Simplify right side
    1,143.65x = 1,125,866.24
  5. Step 5: Solve for x
    x = 1,125,866.24/1,143.65
  6. Step 6: Final answer
    x = 984.45

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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.