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Finding the Fourth Proportional to 586.91, 876.08 and 541.55

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Solution

The fourth proportional to 586.91, 876.08 and 541.55 is: 808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.91 : 876.08 = 541.55 : x
  2. Step 2: Convert to fraction form
    586.91/876.08 = 541.55/x
  3. Step 3: Cross multiply
    586.91x = 876.08 × 541.55
  4. Step 4: Simplify right side
    586.91x = 474,441.12
  5. Step 5: Solve for x
    x = 474,441.12/586.91
  6. Step 6: Final answer
    x = 808.37

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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.