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Finding the Fourth Proportional to 538.06, 807.76 and 416.40

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Solution

The fourth proportional to 538.06, 807.76 and 416.40 is: 625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.06 : 807.76 = 416.40 : x
  2. Step 2: Convert to fraction form
    538.06/807.76 = 416.40/x
  3. Step 3: Cross multiply
    538.06x = 807.76 × 416.40
  4. Step 4: Simplify right side
    538.06x = 336,351.26
  5. Step 5: Solve for x
    x = 336,351.26/538.06
  6. Step 6: Final answer
    x = 625.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.