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Finding the Fourth Proportional to 586.19, 876.69 and 521.64

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Solution

The fourth proportional to 586.19, 876.69 and 521.64 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.19 : 876.69 = 521.64 : x
  2. Step 2: Convert to fraction form
    586.19/876.69 = 521.64/x
  3. Step 3: Cross multiply
    586.19x = 876.69 × 521.64
  4. Step 4: Simplify right side
    586.19x = 457,318.53
  5. Step 5: Solve for x
    x = 457,318.53/586.19
  6. Step 6: Final answer
    x = 780.16

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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.