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Finding the Fourth Proportional to 864.65, 1,298.06 and 860.70

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Solution

The fourth proportional to 864.65, 1,298.06 and 860.70 is: 1,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.65 : 1,298.06 = 860.70 : x
  2. Step 2: Convert to fraction form
    864.65/1,298.06 = 860.70/x
  3. Step 3: Cross multiply
    864.65x = 1,298.06 × 860.70
  4. Step 4: Simplify right side
    864.65x = 1,117,235.94
  5. Step 5: Solve for x
    x = 1,117,235.94/864.65
  6. Step 6: Final answer
    x = 1,292.13

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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.