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Finding the Fourth Proportional to 602.53, 905.73 and 559.74

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Solution

The fourth proportional to 602.53, 905.73 and 559.74 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.53 : 905.73 = 559.74 : x
  2. Step 2: Convert to fraction form
    602.53/905.73 = 559.74/x
  3. Step 3: Cross multiply
    602.53x = 905.73 × 559.74
  4. Step 4: Simplify right side
    602.53x = 506,973.31
  5. Step 5: Solve for x
    x = 506,973.31/602.53
  6. Step 6: Final answer
    x = 841.41

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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.