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Finding the Fourth Proportional to 895.08, 1,348.86 and 840.36

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Solution

The fourth proportional to 895.08, 1,348.86 and 840.36 is: 1,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.08 : 1,348.86 = 840.36 : x
  2. Step 2: Convert to fraction form
    895.08/1,348.86 = 840.36/x
  3. Step 3: Cross multiply
    895.08x = 1,348.86 × 840.36
  4. Step 4: Simplify right side
    895.08x = 1,133,527.99
  5. Step 5: Solve for x
    x = 1,133,527.99/895.08
  6. Step 6: Final answer
    x = 1,266.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.