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Finding the Fourth Proportional to 896.48, 1,237.20 and 586.40

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Solution

The fourth proportional to 896.48, 1,237.20 and 586.40 is: 809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.48 : 1,237.20 = 586.40 : x
  2. Step 2: Convert to fraction form
    896.48/1,237.20 = 586.40/x
  3. Step 3: Cross multiply
    896.48x = 1,237.20 × 586.40
  4. Step 4: Simplify right side
    896.48x = 725,494.08
  5. Step 5: Solve for x
    x = 725,494.08/896.48
  6. Step 6: Final answer
    x = 809.27

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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.