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Finding the Fourth Proportional to 584.28, 805.77 and 537.75

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Solution

The fourth proportional to 584.28, 805.77 and 537.75 is: 741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 805.77 = 537.75 : x
  2. Step 2: Convert to fraction form
    584.28/805.77 = 537.75/x
  3. Step 3: Cross multiply
    584.28x = 805.77 × 537.75
  4. Step 4: Simplify right side
    584.28x = 433,302.82
  5. Step 5: Solve for x
    x = 433,302.82/584.28
  6. Step 6: Final answer
    x = 741.60

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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.