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Finding the Fourth Proportional to 1,005.78, 1,387.58 and 710.94

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Solution

The fourth proportional to 1,005.78, 1,387.58 and 710.94 is: 980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.78 : 1,387.58 = 710.94 : x
  2. Step 2: Convert to fraction form
    1,005.78/1,387.58 = 710.94/x
  3. Step 3: Cross multiply
    1,005.78x = 1,387.58 × 710.94
  4. Step 4: Simplify right side
    1,005.78x = 986,486.13
  5. Step 5: Solve for x
    x = 986,486.13/1,005.78
  6. Step 6: Final answer
    x = 980.82

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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.