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Finding the Fourth Proportional to 1,102.49, 1,521.57 and 710.65

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Solution

The fourth proportional to 1,102.49, 1,521.57 and 710.65 is: 980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.49 : 1,521.57 = 710.65 : x
  2. Step 2: Convert to fraction form
    1,102.49/1,521.57 = 710.65/x
  3. Step 3: Cross multiply
    1,102.49x = 1,521.57 × 710.65
  4. Step 4: Simplify right side
    1,102.49x = 1,081,303.72
  5. Step 5: Solve for x
    x = 1,081,303.72/1,102.49
  6. Step 6: Final answer
    x = 980.78

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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.