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Finding the Fourth Proportional to 601.26, 902.07 and 565.62

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Solution

The fourth proportional to 601.26, 902.07 and 565.62 is: 848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 902.07 = 565.62 : x
  2. Step 2: Convert to fraction form
    601.26/902.07 = 565.62/x
  3. Step 3: Cross multiply
    601.26x = 902.07 × 565.62
  4. Step 4: Simplify right side
    601.26x = 510,228.83
  5. Step 5: Solve for x
    x = 510,228.83/601.26
  6. Step 6: Final answer
    x = 848.60

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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.