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Finding the Fourth Proportional to 913.80, 1,261.08 and 515.46

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Solution

The fourth proportional to 913.80, 1,261.08 and 515.46 is: 711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.80 : 1,261.08 = 515.46 : x
  2. Step 2: Convert to fraction form
    913.80/1,261.08 = 515.46/x
  3. Step 3: Cross multiply
    913.80x = 1,261.08 × 515.46
  4. Step 4: Simplify right side
    913.80x = 650,030.57
  5. Step 5: Solve for x
    x = 650,030.57/913.80
  6. Step 6: Final answer
    x = 711.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.