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Finding the Fourth Proportional to 690.84, 1,031.91 and 587.64

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Solution

The fourth proportional to 690.84, 1,031.91 and 587.64 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,031.91 = 587.64 : x
  2. Step 2: Convert to fraction form
    690.84/1,031.91 = 587.64/x
  3. Step 3: Cross multiply
    690.84x = 1,031.91 × 587.64
  4. Step 4: Simplify right side
    690.84x = 606,391.59
  5. Step 5: Solve for x
    x = 606,391.59/690.84
  6. Step 6: Final answer
    x = 877.76

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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.