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Finding the Fourth Proportional to 864.63, 1,295.78 and 474.05

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Solution

The fourth proportional to 864.63, 1,295.78 and 474.05 is: 710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.63 : 1,295.78 = 474.05 : x
  2. Step 2: Convert to fraction form
    864.63/1,295.78 = 474.05/x
  3. Step 3: Cross multiply
    864.63x = 1,295.78 × 474.05
  4. Step 4: Simplify right side
    864.63x = 614,259.22
  5. Step 5: Solve for x
    x = 614,259.22/864.63
  6. Step 6: Final answer
    x = 710.43

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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.