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Finding the Fourth Proportional to 937.57, 1,293.06 and 702.07

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Solution

The fourth proportional to 937.57, 1,293.06 and 702.07 is: 968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.57 : 1,293.06 = 702.07 : x
  2. Step 2: Convert to fraction form
    937.57/1,293.06 = 702.07/x
  3. Step 3: Cross multiply
    937.57x = 1,293.06 × 702.07
  4. Step 4: Simplify right side
    937.57x = 907,812.11
  5. Step 5: Solve for x
    x = 907,812.11/937.57
  6. Step 6: Final answer
    x = 968.26

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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.