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Finding the Fourth Proportional to 515.30, 706.29 and 511.70

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Solution

The fourth proportional to 515.30, 706.29 and 511.70 is: 701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.30 : 706.29 = 511.70 : x
  2. Step 2: Convert to fraction form
    515.30/706.29 = 511.70/x
  3. Step 3: Cross multiply
    515.30x = 706.29 × 511.70
  4. Step 4: Simplify right side
    515.30x = 361,406.03
  5. Step 5: Solve for x
    x = 361,406.03/515.30
  6. Step 6: Final answer
    x = 701.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.