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Finding the Fourth Proportional to 730.60, 1,003.13 and 711.57

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Solution

The fourth proportional to 730.60, 1,003.13 and 711.57 is: 977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,003.13 = 711.57 : x
  2. Step 2: Convert to fraction form
    730.60/1,003.13 = 711.57/x
  3. Step 3: Cross multiply
    730.60x = 1,003.13 × 711.57
  4. Step 4: Simplify right side
    730.60x = 713,799.72
  5. Step 5: Solve for x
    x = 713,799.72/730.60
  6. Step 6: Final answer
    x = 977.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.