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Finding the Fourth Proportional to 604.47, 898.56 and 586.74

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Solution

The fourth proportional to 604.47, 898.56 and 586.74 is: 872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.47 : 898.56 = 586.74 : x
  2. Step 2: Convert to fraction form
    604.47/898.56 = 586.74/x
  3. Step 3: Cross multiply
    604.47x = 898.56 × 586.74
  4. Step 4: Simplify right side
    604.47x = 527,224.46
  5. Step 5: Solve for x
    x = 527,224.46/604.47
  6. Step 6: Final answer
    x = 872.20

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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.