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Finding the Fourth Proportional to 808.56, 1,206.90 and 740.16

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Solution

The fourth proportional to 808.56, 1,206.90 and 740.16 is: 1,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.56 : 1,206.90 = 740.16 : x
  2. Step 2: Convert to fraction form
    808.56/1,206.90 = 740.16/x
  3. Step 3: Cross multiply
    808.56x = 1,206.90 × 740.16
  4. Step 4: Simplify right side
    808.56x = 893,299.10
  5. Step 5: Solve for x
    x = 893,299.10/808.56
  6. Step 6: Final answer
    x = 1,104.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.