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Finding the Fourth Proportional to 491.52, 740.37 and 416.20

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Solution

The fourth proportional to 491.52, 740.37 and 416.20 is: 626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 740.37 = 416.20 : x
  2. Step 2: Convert to fraction form
    491.52/740.37 = 416.20/x
  3. Step 3: Cross multiply
    491.52x = 740.37 × 416.20
  4. Step 4: Simplify right side
    491.52x = 308,141.99
  5. Step 5: Solve for x
    x = 308,141.99/491.52
  6. Step 6: Final answer
    x = 626.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.