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Finding the Fourth Proportional to 1,005.93, 1,385.58 and 710.68

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Solution

The fourth proportional to 1,005.93, 1,385.58 and 710.68 is: 978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.93 : 1,385.58 = 710.68 : x
  2. Step 2: Convert to fraction form
    1,005.93/1,385.58 = 710.68/x
  3. Step 3: Cross multiply
    1,005.93x = 1,385.58 × 710.68
  4. Step 4: Simplify right side
    1,005.93x = 984,703.99
  5. Step 5: Solve for x
    x = 984,703.99/1,005.93
  6. Step 6: Final answer
    x = 978.90

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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.