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Finding the Fourth Proportional to 895.06, 1,235.73 and 709.30

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Solution

The fourth proportional to 895.06, 1,235.73 and 709.30 is: 979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.06 : 1,235.73 = 709.30 : x
  2. Step 2: Convert to fraction form
    895.06/1,235.73 = 709.30/x
  3. Step 3: Cross multiply
    895.06x = 1,235.73 × 709.30
  4. Step 4: Simplify right side
    895.06x = 876,503.29
  5. Step 5: Solve for x
    x = 876,503.29/895.06
  6. Step 6: Final answer
    x = 979.27

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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.