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Finding the Fourth Proportional to 586.46, 877.08 and 521.91

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Solution

The fourth proportional to 586.46, 877.08 and 521.91 is: 780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 877.08 = 521.91 : x
  2. Step 2: Convert to fraction form
    586.46/877.08 = 521.91/x
  3. Step 3: Cross multiply
    586.46x = 877.08 × 521.91
  4. Step 4: Simplify right side
    586.46x = 457,756.82
  5. Step 5: Solve for x
    x = 457,756.82/586.46
  6. Step 6: Final answer
    x = 780.55

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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.