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Finding the Fourth Proportional to 470.05, 702.02 and 442.10

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Solution

The fourth proportional to 470.05, 702.02 and 442.10 is: 660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.05 : 702.02 = 442.10 : x
  2. Step 2: Convert to fraction form
    470.05/702.02 = 442.10/x
  3. Step 3: Cross multiply
    470.05x = 702.02 × 442.10
  4. Step 4: Simplify right side
    470.05x = 310,363.04
  5. Step 5: Solve for x
    x = 310,363.04/470.05
  6. Step 6: Final answer
    x = 660.28

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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.