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Finding the Fourth Proportional to 977.70, 1,465.07 and 948.05

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Solution

The fourth proportional to 977.70, 1,465.07 and 948.05 is: 1,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 1,465.07 = 948.05 : x
  2. Step 2: Convert to fraction form
    977.70/1,465.07 = 948.05/x
  3. Step 3: Cross multiply
    977.70x = 1,465.07 × 948.05
  4. Step 4: Simplify right side
    977.70x = 1,388,947.55
  5. Step 5: Solve for x
    x = 1,388,947.55/977.70
  6. Step 6: Final answer
    x = 1,420.63

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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.