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Finding the Fourth Proportional to 670.84, 1,002.35 and 587.48

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Solution

The fourth proportional to 670.84, 1,002.35 and 587.48 is: 877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.84 : 1,002.35 = 587.48 : x
  2. Step 2: Convert to fraction form
    670.84/1,002.35 = 587.48/x
  3. Step 3: Cross multiply
    670.84x = 1,002.35 × 587.48
  4. Step 4: Simplify right side
    670.84x = 588,857.03
  5. Step 5: Solve for x
    x = 588,857.03/670.84
  6. Step 6: Final answer
    x = 877.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.