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Finding the Fourth Proportional to 977.56, 1,465.32 and 360.87

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Solution

The fourth proportional to 977.56, 1,465.32 and 360.87 is: 540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.56 : 1,465.32 = 360.87 : x
  2. Step 2: Convert to fraction form
    977.56/1,465.32 = 360.87/x
  3. Step 3: Cross multiply
    977.56x = 1,465.32 × 360.87
  4. Step 4: Simplify right side
    977.56x = 528,791.08
  5. Step 5: Solve for x
    x = 528,791.08/977.56
  6. Step 6: Final answer
    x = 540.93

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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.