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Finding the Fourth Proportional to 849.60, 1,274.40 and 641.70

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Solution

The fourth proportional to 849.60, 1,274.40 and 641.70 is: 962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.60 : 1,274.40 = 641.70 : x
  2. Step 2: Convert to fraction form
    849.60/1,274.40 = 641.70/x
  3. Step 3: Cross multiply
    849.60x = 1,274.40 × 641.70
  4. Step 4: Simplify right side
    849.60x = 817,782.48
  5. Step 5: Solve for x
    x = 817,782.48/849.60
  6. Step 6: Final answer
    x = 962.55

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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.