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Finding the Fourth Proportional to 688.80, 1,031.99 and 573.98

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Solution

The fourth proportional to 688.80, 1,031.99 and 573.98 is: 859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.80 : 1,031.99 = 573.98 : x
  2. Step 2: Convert to fraction form
    688.80/1,031.99 = 573.98/x
  3. Step 3: Cross multiply
    688.80x = 1,031.99 × 573.98
  4. Step 4: Simplify right side
    688.80x = 592,341.62
  5. Step 5: Solve for x
    x = 592,341.62/688.80
  6. Step 6: Final answer
    x = 859.96

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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.