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Finding the Fourth Proportional to 514.74, 710.64 and 409.65

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Solution

The fourth proportional to 514.74, 710.64 and 409.65 is: 565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.74 : 710.64 = 409.65 : x
  2. Step 2: Convert to fraction form
    514.74/710.64 = 409.65/x
  3. Step 3: Cross multiply
    514.74x = 710.64 × 409.65
  4. Step 4: Simplify right side
    514.74x = 291,113.68
  5. Step 5: Solve for x
    x = 291,113.68/514.74
  6. Step 6: Final answer
    x = 565.55

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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.