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Finding the Fourth Proportional to 467.68, 697.40 and 434.23

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Solution

The fourth proportional to 467.68, 697.40 and 434.23 is: 647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 697.40 = 434.23 : x
  2. Step 2: Convert to fraction form
    467.68/697.40 = 434.23/x
  3. Step 3: Cross multiply
    467.68x = 697.40 × 434.23
  4. Step 4: Simplify right side
    467.68x = 302,832.00
  5. Step 5: Solve for x
    x = 302,832.00/467.68
  6. Step 6: Final answer
    x = 647.52

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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.