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Finding the Fourth Proportional to 515.44, 707.15 and 501.76

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Solution

The fourth proportional to 515.44, 707.15 and 501.76 is: 688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.44 : 707.15 = 501.76 : x
  2. Step 2: Convert to fraction form
    515.44/707.15 = 501.76/x
  3. Step 3: Cross multiply
    515.44x = 707.15 × 501.76
  4. Step 4: Simplify right side
    515.44x = 354,819.58
  5. Step 5: Solve for x
    x = 354,819.58/515.44
  6. Step 6: Final answer
    x = 688.38

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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.