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Finding the Fourth Proportional to 1,013.50, 1,398.36 and 571.33

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Solution

The fourth proportional to 1,013.50, 1,398.36 and 571.33 is: 788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.50 : 1,398.36 = 571.33 : x
  2. Step 2: Convert to fraction form
    1,013.50/1,398.36 = 571.33/x
  3. Step 3: Cross multiply
    1,013.50x = 1,398.36 × 571.33
  4. Step 4: Simplify right side
    1,013.50x = 798,925.02
  5. Step 5: Solve for x
    x = 798,925.02/1,013.50
  6. Step 6: Final answer
    x = 788.28

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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.