Home / 1,304.64-1,946.88-1,159.20

Finding the Fourth Proportional to 1,304.64, 1,946.88 and 1,159.20

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Solution

The fourth proportional to 1,304.64, 1,946.88 and 1,159.20 is: 1,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.64 : 1,946.88 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    1,304.64/1,946.88 = 1,159.20/x
  3. Step 3: Cross multiply
    1,304.64x = 1,946.88 × 1,159.20
  4. Step 4: Simplify right side
    1,304.64x = 2,256,823.30
  5. Step 5: Solve for x
    x = 2,256,823.30/1,304.64
  6. Step 6: Final answer
    x = 1,729.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.