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Finding the Fourth Proportional to 895.62, 1,235.96 and 564.05

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Solution

The fourth proportional to 895.62, 1,235.96 and 564.05 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.62 : 1,235.96 = 564.05 : x
  2. Step 2: Convert to fraction form
    895.62/1,235.96 = 564.05/x
  3. Step 3: Cross multiply
    895.62x = 1,235.96 × 564.05
  4. Step 4: Simplify right side
    895.62x = 697,143.51
  5. Step 5: Solve for x
    x = 697,143.51/895.62
  6. Step 6: Final answer
    x = 778.39

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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.