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Finding the Fourth Proportional to 691.34, 952.93 and 541.70

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Solution

The fourth proportional to 691.34, 952.93 and 541.70 is: 746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.34 : 952.93 = 541.70 : x
  2. Step 2: Convert to fraction form
    691.34/952.93 = 541.70/x
  3. Step 3: Cross multiply
    691.34x = 952.93 × 541.70
  4. Step 4: Simplify right side
    691.34x = 516,203.21
  5. Step 5: Solve for x
    x = 516,203.21/691.34
  6. Step 6: Final answer
    x = 746.68

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1.5x scale

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.