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Finding the Fourth Proportional to 901.35, 1,243.08 and 586.50

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Solution

The fourth proportional to 901.35, 1,243.08 and 586.50 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.35 : 1,243.08 = 586.50 : x
  2. Step 2: Convert to fraction form
    901.35/1,243.08 = 586.50/x
  3. Step 3: Cross multiply
    901.35x = 1,243.08 × 586.50
  4. Step 4: Simplify right side
    901.35x = 729,066.42
  5. Step 5: Solve for x
    x = 729,066.42/901.35
  6. Step 6: Final answer
    x = 808.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.