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Finding the Fourth Proportional to 677.76, 1,011.72 and 586.80

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Solution

The fourth proportional to 677.76, 1,011.72 and 586.80 is: 875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 1,011.72 = 586.80 : x
  2. Step 2: Convert to fraction form
    677.76/1,011.72 = 586.80/x
  3. Step 3: Cross multiply
    677.76x = 1,011.72 × 586.80
  4. Step 4: Simplify right side
    677.76x = 593,677.30
  5. Step 5: Solve for x
    x = 593,677.30/677.76
  6. Step 6: Final answer
    x = 875.94

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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.