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Finding the Fourth Proportional to 895.52, 1,235.99 and 648

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Solution

The fourth proportional to 895.52, 1,235.99 and 648 is: 894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.52 : 1,235.99 = 648 : x
  2. Step 2: Convert to fraction form
    895.52/1,235.99 = 648/x
  3. Step 3: Cross multiply
    895.52x = 1,235.99 × 648
  4. Step 4: Simplify right side
    895.52x = 800,923.14
  5. Step 5: Solve for x
    x = 800,923.14/895.52
  6. Step 6: Final answer
    x = 894.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.