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Finding the Fourth Proportional to 470.70, 702.84 and 401.40

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Solution

The fourth proportional to 470.70, 702.84 and 401.40 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.70 : 702.84 = 401.40 : x
  2. Step 2: Convert to fraction form
    470.70/702.84 = 401.40/x
  3. Step 3: Cross multiply
    470.70x = 702.84 × 401.40
  4. Step 4: Simplify right side
    470.70x = 282,119.98
  5. Step 5: Solve for x
    x = 282,119.98/470.70
  6. Step 6: Final answer
    x = 599.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.