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Finding the Fourth Proportional to 515.76, 712.38 and 417.90

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Solution

The fourth proportional to 515.76, 712.38 and 417.90 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 712.38 = 417.90 : x
  2. Step 2: Convert to fraction form
    515.76/712.38 = 417.90/x
  3. Step 3: Cross multiply
    515.76x = 712.38 × 417.90
  4. Step 4: Simplify right side
    515.76x = 297,703.60
  5. Step 5: Solve for x
    x = 297,703.60/515.76
  6. Step 6: Final answer
    x = 577.21

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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.