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Finding the Fourth Proportional to 586.81, 884.63 and 547.18

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Solution

The fourth proportional to 586.81, 884.63 and 547.18 is: 824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.81 : 884.63 = 547.18 : x
  2. Step 2: Convert to fraction form
    586.81/884.63 = 547.18/x
  3. Step 3: Cross multiply
    586.81x = 884.63 × 547.18
  4. Step 4: Simplify right side
    586.81x = 484,051.84
  5. Step 5: Solve for x
    x = 484,051.84/586.81
  6. Step 6: Final answer
    x = 824.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.