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Finding the Fourth Proportional to 485.54, 722.07 and 470.16

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Solution

The fourth proportional to 485.54, 722.07 and 470.16 is: 699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.54 : 722.07 = 470.16 : x
  2. Step 2: Convert to fraction form
    485.54/722.07 = 470.16/x
  3. Step 3: Cross multiply
    485.54x = 722.07 × 470.16
  4. Step 4: Simplify right side
    485.54x = 339,488.43
  5. Step 5: Solve for x
    x = 339,488.43/485.54
  6. Step 6: Final answer
    x = 699.20

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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.