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Finding the Fourth Proportional to 875.27, 1,208.91 and 710.33

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Solution

The fourth proportional to 875.27, 1,208.91 and 710.33 is: 981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.27 : 1,208.91 = 710.33 : x
  2. Step 2: Convert to fraction form
    875.27/1,208.91 = 710.33/x
  3. Step 3: Cross multiply
    875.27x = 1,208.91 × 710.33
  4. Step 4: Simplify right side
    875.27x = 858,721.49
  5. Step 5: Solve for x
    x = 858,721.49/875.27
  6. Step 6: Final answer
    x = 981.10

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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.