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Finding the Fourth Proportional to 602.64, 898.79 and 590.46

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Solution

The fourth proportional to 602.64, 898.79 and 590.46 is: 880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 898.79 = 590.46 : x
  2. Step 2: Convert to fraction form
    602.64/898.79 = 590.46/x
  3. Step 3: Cross multiply
    602.64x = 898.79 × 590.46
  4. Step 4: Simplify right side
    602.64x = 530,696.59
  5. Step 5: Solve for x
    x = 530,696.59/602.64
  6. Step 6: Final answer
    x = 880.62

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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.