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Finding the Fourth Proportional to 1,397.93, 1,929.18 and 808.50

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Solution

The fourth proportional to 1,397.93, 1,929.18 and 808.50 is: 1,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.93 : 1,929.18 = 808.50 : x
  2. Step 2: Convert to fraction form
    1,397.93/1,929.18 = 808.50/x
  3. Step 3: Cross multiply
    1,397.93x = 1,929.18 × 808.50
  4. Step 4: Simplify right side
    1,397.93x = 1,559,749.26
  5. Step 5: Solve for x
    x = 1,559,749.26/1,397.93
  6. Step 6: Final answer
    x = 1,115.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.