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Finding the Fourth Proportional to 515.10, 722.10 and 515.10

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Solution

The fourth proportional to 515.10, 722.10 and 515.10 is: 722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.10 : 722.10 = 515.10 : x
  2. Step 2: Convert to fraction form
    515.10/722.10 = 515.10/x
  3. Step 3: Cross multiply
    515.10x = 722.10 × 515.10
  4. Step 4: Simplify right side
    515.10x = 371,953.71
  5. Step 5: Solve for x
    x = 371,953.71/515.10
  6. Step 6: Final answer
    x = 722.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.