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Finding the Fourth Proportional to 470.67, 700.73 and 468.39

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Solution

The fourth proportional to 470.67, 700.73 and 468.39 is: 697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.67 : 700.73 = 468.39 : x
  2. Step 2: Convert to fraction form
    470.67/700.73 = 468.39/x
  3. Step 3: Cross multiply
    470.67x = 700.73 × 468.39
  4. Step 4: Simplify right side
    470.67x = 328,216.10
  5. Step 5: Solve for x
    x = 328,216.10/470.67
  6. Step 6: Final answer
    x = 697.34

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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.