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Finding the Fourth Proportional to 515.20, 710.80 and 340.48

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Solution

The fourth proportional to 515.20, 710.80 and 340.48 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.20 : 710.80 = 340.48 : x
  2. Step 2: Convert to fraction form
    515.20/710.80 = 340.48/x
  3. Step 3: Cross multiply
    515.20x = 710.80 × 340.48
  4. Step 4: Simplify right side
    515.20x = 242,013.18
  5. Step 5: Solve for x
    x = 242,013.18/515.20
  6. Step 6: Final answer
    x = 469.75

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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.