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Finding the Fourth Proportional to 467.98, 646.63 and 385.02

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Solution

The fourth proportional to 467.98, 646.63 and 385.02 is: 532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.98 : 646.63 = 385.02 : x
  2. Step 2: Convert to fraction form
    467.98/646.63 = 385.02/x
  3. Step 3: Cross multiply
    467.98x = 646.63 × 385.02
  4. Step 4: Simplify right side
    467.98x = 248,965.48
  5. Step 5: Solve for x
    x = 248,965.48/467.98
  6. Step 6: Final answer
    x = 532.00

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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.