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Finding the Fourth Proportional to 898.53, 1,346.45 and 411.45

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Solution

The fourth proportional to 898.53, 1,346.45 and 411.45 is: 616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.53 : 1,346.45 = 411.45 : x
  2. Step 2: Convert to fraction form
    898.53/1,346.45 = 411.45/x
  3. Step 3: Cross multiply
    898.53x = 1,346.45 × 411.45
  4. Step 4: Simplify right side
    898.53x = 553,994.80
  5. Step 5: Solve for x
    x = 553,994.80/898.53
  6. Step 6: Final answer
    x = 616.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.