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Finding the Fourth Proportional to 515.34, 776.63 and 464.04

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Solution

The fourth proportional to 515.34, 776.63 and 464.04 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 776.63 = 464.04 : x
  2. Step 2: Convert to fraction form
    515.34/776.63 = 464.04/x
  3. Step 3: Cross multiply
    515.34x = 776.63 × 464.04
  4. Step 4: Simplify right side
    515.34x = 360,388.55
  5. Step 5: Solve for x
    x = 360,388.55/515.34
  6. Step 6: Final answer
    x = 699.32

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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.