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Finding the Fourth Proportional to 515.76, 712.08 and 460.40

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Solution

The fourth proportional to 515.76, 712.08 and 460.40 is: 635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 712.08 = 460.40 : x
  2. Step 2: Convert to fraction form
    515.76/712.08 = 460.40/x
  3. Step 3: Cross multiply
    515.76x = 712.08 × 460.40
  4. Step 4: Simplify right side
    515.76x = 327,841.63
  5. Step 5: Solve for x
    x = 327,841.63/515.76
  6. Step 6: Final answer
    x = 635.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.