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Finding the Fourth Proportional to 470.57, 705.08 and 287.40

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Solution

The fourth proportional to 470.57, 705.08 and 287.40 is: 430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 705.08 = 287.40 : x
  2. Step 2: Convert to fraction form
    470.57/705.08 = 287.40/x
  3. Step 3: Cross multiply
    470.57x = 705.08 × 287.40
  4. Step 4: Simplify right side
    470.57x = 202,638.56
  5. Step 5: Solve for x
    x = 202,638.56/470.57
  6. Step 6: Final answer
    x = 430.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.