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Finding the Fourth Proportional to 470.67, 702.45 and 431.45

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Solution

The fourth proportional to 470.67, 702.45 and 431.45 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.67 : 702.45 = 431.45 : x
  2. Step 2: Convert to fraction form
    470.67/702.45 = 431.45/x
  3. Step 3: Cross multiply
    470.67x = 702.45 × 431.45
  4. Step 4: Simplify right side
    470.67x = 303,073.81
  5. Step 5: Solve for x
    x = 303,073.81/470.67
  6. Step 6: Final answer
    x = 643.93

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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.