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Finding the Fourth Proportional to 1,247.61, 1,721.54 and 750.34

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Solution

The fourth proportional to 1,247.61, 1,721.54 and 750.34 is: 1,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.61 : 1,721.54 = 750.34 : x
  2. Step 2: Convert to fraction form
    1,247.61/1,721.54 = 750.34/x
  3. Step 3: Cross multiply
    1,247.61x = 1,721.54 × 750.34
  4. Step 4: Simplify right side
    1,247.61x = 1,291,737.90
  5. Step 5: Solve for x
    x = 1,291,737.90/1,247.61
  6. Step 6: Final answer
    x = 1,035.37

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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.