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Finding the Fourth Proportional to 602.40, 826.26 and 578.10

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Solution

The fourth proportional to 602.40, 826.26 and 578.10 is: 792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 826.26 = 578.10 : x
  2. Step 2: Convert to fraction form
    602.40/826.26 = 578.10/x
  3. Step 3: Cross multiply
    602.40x = 826.26 × 578.10
  4. Step 4: Simplify right side
    602.40x = 477,660.91
  5. Step 5: Solve for x
    x = 477,660.91/602.40
  6. Step 6: Final answer
    x = 792.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.