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Finding the Fourth Proportional to 1,005.96, 1,386.72 and 710.76

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Solution

The fourth proportional to 1,005.96, 1,386.72 and 710.76 is: 979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.96 : 1,386.72 = 710.76 : x
  2. Step 2: Convert to fraction form
    1,005.96/1,386.72 = 710.76/x
  3. Step 3: Cross multiply
    1,005.96x = 1,386.72 × 710.76
  4. Step 4: Simplify right side
    1,005.96x = 985,625.11
  5. Step 5: Solve for x
    x = 985,625.11/1,005.96
  6. Step 6: Final answer
    x = 979.79

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1.5x scale

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.