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Finding the Fourth Proportional to 1,229.76, 1,695.06 and 836.10

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Solution

The fourth proportional to 1,229.76, 1,695.06 and 836.10 is: 1,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.76 : 1,695.06 = 836.10 : x
  2. Step 2: Convert to fraction form
    1,229.76/1,695.06 = 836.10/x
  3. Step 3: Cross multiply
    1,229.76x = 1,695.06 × 836.10
  4. Step 4: Simplify right side
    1,229.76x = 1,417,239.67
  5. Step 5: Solve for x
    x = 1,417,239.67/1,229.76
  6. Step 6: Final answer
    x = 1,152.45

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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.