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Finding the Fourth Proportional to 584.36, 875.36 and 290.97

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Solution

The fourth proportional to 584.36, 875.36 and 290.97 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.36 : 875.36 = 290.97 : x
  2. Step 2: Convert to fraction form
    584.36/875.36 = 290.97/x
  3. Step 3: Cross multiply
    584.36x = 875.36 × 290.97
  4. Step 4: Simplify right side
    584.36x = 254,702.04
  5. Step 5: Solve for x
    x = 254,702.04/584.36
  6. Step 6: Final answer
    x = 435.87

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1.5x scale

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.