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Finding the Fourth Proportional to 1,120.23, 1,678.52 and 707.74

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Solution

The fourth proportional to 1,120.23, 1,678.52 and 707.74 is: 1,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.23 : 1,678.52 = 707.74 : x
  2. Step 2: Convert to fraction form
    1,120.23/1,678.52 = 707.74/x
  3. Step 3: Cross multiply
    1,120.23x = 1,678.52 × 707.74
  4. Step 4: Simplify right side
    1,120.23x = 1,187,953.32
  5. Step 5: Solve for x
    x = 1,187,953.32/1,120.23
  6. Step 6: Final answer
    x = 1,060.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.