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Finding the Fourth Proportional to 864.10, 1,295.68 and 590.50

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Solution

The fourth proportional to 864.10, 1,295.68 and 590.50 is: 885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.10 : 1,295.68 = 590.50 : x
  2. Step 2: Convert to fraction form
    864.10/1,295.68 = 590.50/x
  3. Step 3: Cross multiply
    864.10x = 1,295.68 × 590.50
  4. Step 4: Simplify right side
    864.10x = 765,099.04
  5. Step 5: Solve for x
    x = 765,099.04/864.10
  6. Step 6: Final answer
    x = 885.43

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1.5x scale

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.