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Finding the Fourth Proportional to 469.64, 705.16 and 287.79

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Solution

The fourth proportional to 469.64, 705.16 and 287.79 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.64 : 705.16 = 287.79 : x
  2. Step 2: Convert to fraction form
    469.64/705.16 = 287.79/x
  3. Step 3: Cross multiply
    469.64x = 705.16 × 287.79
  4. Step 4: Simplify right side
    469.64x = 202,938.00
  5. Step 5: Solve for x
    x = 202,938.00/469.64
  6. Step 6: Final answer
    x = 432.12

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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.