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Finding the Fourth Proportional to 467.78, 698.25 and 437.00

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Solution

The fourth proportional to 467.78, 698.25 and 437.00 is: 652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.78 : 698.25 = 437.00 : x
  2. Step 2: Convert to fraction form
    467.78/698.25 = 437.00/x
  3. Step 3: Cross multiply
    467.78x = 698.25 × 437.00
  4. Step 4: Simplify right side
    467.78x = 305,129.71
  5. Step 5: Solve for x
    x = 305,129.71/467.78
  6. Step 6: Final answer
    x = 652.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.