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Finding the Fourth Proportional to 513.36, 703.52 and 464.16

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Solution

The fourth proportional to 513.36, 703.52 and 464.16 is: 636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.36 : 703.52 = 464.16 : x
  2. Step 2: Convert to fraction form
    513.36/703.52 = 464.16/x
  3. Step 3: Cross multiply
    513.36x = 703.52 × 464.16
  4. Step 4: Simplify right side
    513.36x = 326,545.84
  5. Step 5: Solve for x
    x = 326,545.84/513.36
  6. Step 6: Final answer
    x = 636.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.