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Finding the Fourth Proportional to 865.65, 1,295.20 and 530.90

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Solution

The fourth proportional to 865.65, 1,295.20 and 530.90 is: 794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.65 : 1,295.20 = 530.90 : x
  2. Step 2: Convert to fraction form
    865.65/1,295.20 = 530.90/x
  3. Step 3: Cross multiply
    865.65x = 1,295.20 × 530.90
  4. Step 4: Simplify right side
    865.65x = 687,623.59
  5. Step 5: Solve for x
    x = 687,623.59/865.65
  6. Step 6: Final answer
    x = 794.35

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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.