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Finding the Fourth Proportional to 586.00, 876.41 and 521.45

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Solution

The fourth proportional to 586.00, 876.41 and 521.45 is: 779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.00 : 876.41 = 521.45 : x
  2. Step 2: Convert to fraction form
    586.00/876.41 = 521.45/x
  3. Step 3: Cross multiply
    586.00x = 876.41 × 521.45
  4. Step 4: Simplify right side
    586.00x = 457,010.11
  5. Step 5: Solve for x
    x = 457,010.11/586.00
  6. Step 6: Final answer
    x = 779.88

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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.