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Finding the Fourth Proportional to 895.02, 1,234.53 and 685.23

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Solution

The fourth proportional to 895.02, 1,234.53 and 685.23 is: 945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,234.53 = 685.23 : x
  2. Step 2: Convert to fraction form
    895.02/1,234.53 = 685.23/x
  3. Step 3: Cross multiply
    895.02x = 1,234.53 × 685.23
  4. Step 4: Simplify right side
    895.02x = 845,936.99
  5. Step 5: Solve for x
    x = 845,936.99/895.02
  6. Step 6: Final answer
    x = 945.16

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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.