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Finding the Fourth Proportional to 512.32, 706.40 and 372.16

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Solution

The fourth proportional to 512.32, 706.40 and 372.16 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 706.40 = 372.16 : x
  2. Step 2: Convert to fraction form
    512.32/706.40 = 372.16/x
  3. Step 3: Cross multiply
    512.32x = 706.40 × 372.16
  4. Step 4: Simplify right side
    512.32x = 262,893.82
  5. Step 5: Solve for x
    x = 262,893.82/512.32
  6. Step 6: Final answer
    x = 513.14

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1.5x scale

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.