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Finding the Fourth Proportional to 785.51, 1,176.67 and 630.60

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Solution

The fourth proportional to 785.51, 1,176.67 and 630.60 is: 944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.51 : 1,176.67 = 630.60 : x
  2. Step 2: Convert to fraction form
    785.51/1,176.67 = 630.60/x
  3. Step 3: Cross multiply
    785.51x = 1,176.67 × 630.60
  4. Step 4: Simplify right side
    785.51x = 742,008.10
  5. Step 5: Solve for x
    x = 742,008.10/785.51
  6. Step 6: Final answer
    x = 944.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.