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Finding the Fourth Proportional to 977.20, 1,465.78 and 319.10

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Solution

The fourth proportional to 977.20, 1,465.78 and 319.10 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,465.78 = 319.10 : x
  2. Step 2: Convert to fraction form
    977.20/1,465.78 = 319.10/x
  3. Step 3: Cross multiply
    977.20x = 1,465.78 × 319.10
  4. Step 4: Simplify right side
    977.20x = 467,730.40
  5. Step 5: Solve for x
    x = 467,730.40/977.20
  6. Step 6: Final answer
    x = 478.64

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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.