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Finding the Fourth Proportional to 584.55, 805.04 and 571.79

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Solution

The fourth proportional to 584.55, 805.04 and 571.79 is: 787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.55 : 805.04 = 571.79 : x
  2. Step 2: Convert to fraction form
    584.55/805.04 = 571.79/x
  3. Step 3: Cross multiply
    584.55x = 805.04 × 571.79
  4. Step 4: Simplify right side
    584.55x = 460,315.12
  5. Step 5: Solve for x
    x = 460,315.12/584.55
  6. Step 6: Final answer
    x = 787.47

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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.