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Finding the Fourth Proportional to 984.10, 1,476.35 and 290.79

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Solution

The fourth proportional to 984.10, 1,476.35 and 290.79 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.10 : 1,476.35 = 290.79 : x
  2. Step 2: Convert to fraction form
    984.10/1,476.35 = 290.79/x
  3. Step 3: Cross multiply
    984.10x = 1,476.35 × 290.79
  4. Step 4: Simplify right side
    984.10x = 429,307.82
  5. Step 5: Solve for x
    x = 429,307.82/984.10
  6. Step 6: Final answer
    x = 436.24

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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.