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Finding the Fourth Proportional to 865.77, 1,298.67 and 346.08

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Solution

The fourth proportional to 865.77, 1,298.67 and 346.08 is: 519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.77 : 1,298.67 = 346.08 : x
  2. Step 2: Convert to fraction form
    865.77/1,298.67 = 346.08/x
  3. Step 3: Cross multiply
    865.77x = 1,298.67 × 346.08
  4. Step 4: Simplify right side
    865.77x = 449,443.71
  5. Step 5: Solve for x
    x = 449,443.71/865.77
  6. Step 6: Final answer
    x = 519.13

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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.