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Finding the Fourth Proportional to 515.34, 706.91 and 510.96

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Solution

The fourth proportional to 515.34, 706.91 and 510.96 is: 700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 706.91 = 510.96 : x
  2. Step 2: Convert to fraction form
    515.34/706.91 = 510.96/x
  3. Step 3: Cross multiply
    515.34x = 706.91 × 510.96
  4. Step 4: Simplify right side
    515.34x = 361,204.01
  5. Step 5: Solve for x
    x = 361,204.01/515.34
  6. Step 6: Final answer
    x = 700.90

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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.