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Finding the Fourth Proportional to 515.72, 776.71 and 435.08

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Solution

The fourth proportional to 515.72, 776.71 and 435.08 is: 655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 776.71 = 435.08 : x
  2. Step 2: Convert to fraction form
    515.72/776.71 = 435.08/x
  3. Step 3: Cross multiply
    515.72x = 776.71 × 435.08
  4. Step 4: Simplify right side
    515.72x = 337,930.99
  5. Step 5: Solve for x
    x = 337,930.99/515.72
  6. Step 6: Final answer
    x = 655.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.