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Finding the Fourth Proportional to 977.48, 1,465.87 and 328.07

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Solution

The fourth proportional to 977.48, 1,465.87 and 328.07 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 1,465.87 = 328.07 : x
  2. Step 2: Convert to fraction form
    977.48/1,465.87 = 328.07/x
  3. Step 3: Cross multiply
    977.48x = 1,465.87 × 328.07
  4. Step 4: Simplify right side
    977.48x = 480,907.97
  5. Step 5: Solve for x
    x = 480,907.97/977.48
  6. Step 6: Final answer
    x = 491.99

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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.