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Finding the Fourth Proportional to 895, 1,339.64 and 584.36

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Solution

The fourth proportional to 895, 1,339.64 and 584.36 is: 874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    895 : 1,339.64 = 584.36 : x
  2. Step 2: Convert to fraction form
    895/1,339.64 = 584.36/x
  3. Step 3: Cross multiply
    895x = 1,339.64 × 584.36
  4. Step 4: Simplify right side
    895x = 782,832.03
  5. Step 5: Solve for x
    x = 782,832.03/895
  6. Step 6: Final answer
    x = 874.67

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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.