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Finding the Fourth Proportional to 602.16, 898.81 and 559.36

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Solution

The fourth proportional to 602.16, 898.81 and 559.36 is: 834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 898.81 = 559.36 : x
  2. Step 2: Convert to fraction form
    602.16/898.81 = 559.36/x
  3. Step 3: Cross multiply
    602.16x = 898.81 × 559.36
  4. Step 4: Simplify right side
    602.16x = 502,758.36
  5. Step 5: Solve for x
    x = 502,758.36/602.16
  6. Step 6: Final answer
    x = 834.92

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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.