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Finding the Fourth Proportional to 584.65, 805.78 and 437.03

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Solution

The fourth proportional to 584.65, 805.78 and 437.03 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.65 : 805.78 = 437.03 : x
  2. Step 2: Convert to fraction form
    584.65/805.78 = 437.03/x
  3. Step 3: Cross multiply
    584.65x = 805.78 × 437.03
  4. Step 4: Simplify right side
    584.65x = 352,149.57
  5. Step 5: Solve for x
    x = 352,149.57/584.65
  6. Step 6: Final answer
    x = 602.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.