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Finding the Fourth Proportional to 602.65, 906.71 and 359.35

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Solution

The fourth proportional to 602.65, 906.71 and 359.35 is: 540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.65 : 906.71 = 359.35 : x
  2. Step 2: Convert to fraction form
    602.65/906.71 = 359.35/x
  3. Step 3: Cross multiply
    602.65x = 906.71 × 359.35
  4. Step 4: Simplify right side
    602.65x = 325,826.24
  5. Step 5: Solve for x
    x = 325,826.24/602.65
  6. Step 6: Final answer
    x = 540.66

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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.