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Finding the Fourth Proportional to 864.47, 1,290.43 and 740.54

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Solution

The fourth proportional to 864.47, 1,290.43 and 740.54 is: 1,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.47 : 1,290.43 = 740.54 : x
  2. Step 2: Convert to fraction form
    864.47/1,290.43 = 740.54/x
  3. Step 3: Cross multiply
    864.47x = 1,290.43 × 740.54
  4. Step 4: Simplify right side
    864.47x = 955,615.03
  5. Step 5: Solve for x
    x = 955,615.03/864.47
  6. Step 6: Final answer
    x = 1,105.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.