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Finding the Fourth Proportional to 470.02, 703.95 and 287.01

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Solution

The fourth proportional to 470.02, 703.95 and 287.01 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 703.95 = 287.01 : x
  2. Step 2: Convert to fraction form
    470.02/703.95 = 287.01/x
  3. Step 3: Cross multiply
    470.02x = 703.95 × 287.01
  4. Step 4: Simplify right side
    470.02x = 202,040.69
  5. Step 5: Solve for x
    x = 202,040.69/470.02
  6. Step 6: Final answer
    x = 429.86

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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.