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Finding the Fourth Proportional to 865.05, 1,193.92 and 510.95

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Solution

The fourth proportional to 865.05, 1,193.92 and 510.95 is: 705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.05 : 1,193.92 = 510.95 : x
  2. Step 2: Convert to fraction form
    865.05/1,193.92 = 510.95/x
  3. Step 3: Cross multiply
    865.05x = 1,193.92 × 510.95
  4. Step 4: Simplify right side
    865.05x = 610,033.42
  5. Step 5: Solve for x
    x = 610,033.42/865.05
  6. Step 6: Final answer
    x = 705.20

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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.