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Finding the Fourth Proportional to 875.88, 1,313.10 and 602.49

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Solution

The fourth proportional to 875.88, 1,313.10 and 602.49 is: 903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.88 : 1,313.10 = 602.49 : x
  2. Step 2: Convert to fraction form
    875.88/1,313.10 = 602.49/x
  3. Step 3: Cross multiply
    875.88x = 1,313.10 × 602.49
  4. Step 4: Simplify right side
    875.88x = 791,129.62
  5. Step 5: Solve for x
    x = 791,129.62/875.88
  6. Step 6: Final answer
    x = 903.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.