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Finding the Fourth Proportional to 515.37, 710.38 and 410.25

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Solution

The fourth proportional to 515.37, 710.38 and 410.25 is: 565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.37 : 710.38 = 410.25 : x
  2. Step 2: Convert to fraction form
    515.37/710.38 = 410.25/x
  3. Step 3: Cross multiply
    515.37x = 710.38 × 410.25
  4. Step 4: Simplify right side
    515.37x = 291,433.40
  5. Step 5: Solve for x
    x = 291,433.40/515.37
  6. Step 6: Final answer
    x = 565.48

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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.