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Finding the Fourth Proportional to 977.39, 1,464.16 and 734.19

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Solution

The fourth proportional to 977.39, 1,464.16 and 734.19 is: 1,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.39 : 1,464.16 = 734.19 : x
  2. Step 2: Convert to fraction form
    977.39/1,464.16 = 734.19/x
  3. Step 3: Cross multiply
    977.39x = 1,464.16 × 734.19
  4. Step 4: Simplify right side
    977.39x = 1,074,971.63
  5. Step 5: Solve for x
    x = 1,074,971.63/977.39
  6. Step 6: Final answer
    x = 1,099.84

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Why These Related Problems?

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