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Finding the Fourth Proportional to 937.68, 1,293.66 and 705.12

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Solution

The fourth proportional to 937.68, 1,293.66 and 705.12 is: 972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.68 : 1,293.66 = 705.12 : x
  2. Step 2: Convert to fraction form
    937.68/1,293.66 = 705.12/x
  3. Step 3: Cross multiply
    937.68x = 1,293.66 × 705.12
  4. Step 4: Simplify right side
    937.68x = 912,185.54
  5. Step 5: Solve for x
    x = 912,185.54/937.68
  6. Step 6: Final answer
    x = 972.81

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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.