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Finding the Fourth Proportional to 469.93, 704.46 and 286.93

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Solution

The fourth proportional to 469.93, 704.46 and 286.93 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.93 : 704.46 = 286.93 : x
  2. Step 2: Convert to fraction form
    469.93/704.46 = 286.93/x
  3. Step 3: Cross multiply
    469.93x = 704.46 × 286.93
  4. Step 4: Simplify right side
    469.93x = 202,128.95
  5. Step 5: Solve for x
    x = 202,128.95/469.93
  6. Step 6: Final answer
    x = 430.13

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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.