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Finding the Fourth Proportional to 1,113.54, 1,673.76 and 705.30

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Solution

The fourth proportional to 1,113.54, 1,673.76 and 705.30 is: 1,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.54 : 1,673.76 = 705.30 : x
  2. Step 2: Convert to fraction form
    1,113.54/1,673.76 = 705.30/x
  3. Step 3: Cross multiply
    1,113.54x = 1,673.76 × 705.30
  4. Step 4: Simplify right side
    1,113.54x = 1,180,502.93
  5. Step 5: Solve for x
    x = 1,180,502.93/1,113.54
  6. Step 6: Final answer
    x = 1,060.14

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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.