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Finding the Fourth Proportional to 807.93, 1,114.64 and 492.97

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Solution

The fourth proportional to 807.93, 1,114.64 and 492.97 is: 680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.93 : 1,114.64 = 492.97 : x
  2. Step 2: Convert to fraction form
    807.93/1,114.64 = 492.97/x
  3. Step 3: Cross multiply
    807.93x = 1,114.64 × 492.97
  4. Step 4: Simplify right side
    807.93x = 549,484.08
  5. Step 5: Solve for x
    x = 549,484.08/807.93
  6. Step 6: Final answer
    x = 680.11

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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.