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Finding the Fourth Proportional to 523.65, 778.62 and 501.78

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Solution

The fourth proportional to 523.65, 778.62 and 501.78 is: 746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.65 : 778.62 = 501.78 : x
  2. Step 2: Convert to fraction form
    523.65/778.62 = 501.78/x
  3. Step 3: Cross multiply
    523.65x = 778.62 × 501.78
  4. Step 4: Simplify right side
    523.65x = 390,695.94
  5. Step 5: Solve for x
    x = 390,695.94/523.65
  6. Step 6: Final answer
    x = 746.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.