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Finding the Fourth Proportional to 1,005.05, 1,387.04 and 710.39

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Solution

The fourth proportional to 1,005.05, 1,387.04 and 710.39 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.05 : 1,387.04 = 710.39 : x
  2. Step 2: Convert to fraction form
    1,005.05/1,387.04 = 710.39/x
  3. Step 3: Cross multiply
    1,005.05x = 1,387.04 × 710.39
  4. Step 4: Simplify right side
    1,005.05x = 985,328.86
  5. Step 5: Solve for x
    x = 985,328.86/1,005.05
  6. Step 6: Final answer
    x = 980.38

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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.