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Finding the Fourth Proportional to 1,397.76, 1,929.04 and 808.64

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Solution

The fourth proportional to 1,397.76, 1,929.04 and 808.64 is: 1,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.76 : 1,929.04 = 808.64 : x
  2. Step 2: Convert to fraction form
    1,397.76/1,929.04 = 808.64/x
  3. Step 3: Cross multiply
    1,397.76x = 1,929.04 × 808.64
  4. Step 4: Simplify right side
    1,397.76x = 1,559,898.91
  5. Step 5: Solve for x
    x = 1,559,898.91/1,397.76
  6. Step 6: Final answer
    x = 1,116.00

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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.