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Finding the Fourth Proportional to 1,397.66, 1,928.88 and 956.16

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Solution

The fourth proportional to 1,397.66, 1,928.88 and 956.16 is: 1,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.66 : 1,928.88 = 956.16 : x
  2. Step 2: Convert to fraction form
    1,397.66/1,928.88 = 956.16/x
  3. Step 3: Cross multiply
    1,397.66x = 1,928.88 × 956.16
  4. Step 4: Simplify right side
    1,397.66x = 1,844,317.90
  5. Step 5: Solve for x
    x = 1,844,317.90/1,397.66
  6. Step 6: Final answer
    x = 1,319.58

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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.