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Finding the Fourth Proportional to 467.07, 697.48 and 440.07

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Solution

The fourth proportional to 467.07, 697.48 and 440.07 is: 657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 697.48 = 440.07 : x
  2. Step 2: Convert to fraction form
    467.07/697.48 = 440.07/x
  3. Step 3: Cross multiply
    467.07x = 697.48 × 440.07
  4. Step 4: Simplify right side
    467.07x = 306,940.02
  5. Step 5: Solve for x
    x = 306,940.02/467.07
  6. Step 6: Final answer
    x = 657.16

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1.5x scale

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.