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Finding the Fourth Proportional to 1,005.55, 1,385.05 and 710.31

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Solution

The fourth proportional to 1,005.55, 1,385.05 and 710.31 is: 978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.55 : 1,385.05 = 710.31 : x
  2. Step 2: Convert to fraction form
    1,005.55/1,385.05 = 710.31/x
  3. Step 3: Cross multiply
    1,005.55x = 1,385.05 × 710.31
  4. Step 4: Simplify right side
    1,005.55x = 983,814.87
  5. Step 5: Solve for x
    x = 983,814.87/1,005.55
  6. Step 6: Final answer
    x = 978.38

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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.