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Finding the Fourth Proportional to 935.77, 1,290.59 and 702.49

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Solution

The fourth proportional to 935.77, 1,290.59 and 702.49 is: 968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.77 : 1,290.59 = 702.49 : x
  2. Step 2: Convert to fraction form
    935.77/1,290.59 = 702.49/x
  3. Step 3: Cross multiply
    935.77x = 1,290.59 × 702.49
  4. Step 4: Simplify right side
    935.77x = 906,623.06
  5. Step 5: Solve for x
    x = 906,623.06/935.77
  6. Step 6: Final answer
    x = 968.85

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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.