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Finding the Fourth Proportional to 600.13, 898.06 and 435.79

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Solution

The fourth proportional to 600.13, 898.06 and 435.79 is: 652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 898.06 = 435.79 : x
  2. Step 2: Convert to fraction form
    600.13/898.06 = 435.79/x
  3. Step 3: Cross multiply
    600.13x = 898.06 × 435.79
  4. Step 4: Simplify right side
    600.13x = 391,363.39
  5. Step 5: Solve for x
    x = 391,363.39/600.13
  6. Step 6: Final answer
    x = 652.13

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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.