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Finding the Fourth Proportional to 977.09, 1,465.64 and 283.80

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Solution

The fourth proportional to 977.09, 1,465.64 and 283.80 is: 425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.09 : 1,465.64 = 283.80 : x
  2. Step 2: Convert to fraction form
    977.09/1,465.64 = 283.80/x
  3. Step 3: Cross multiply
    977.09x = 1,465.64 × 283.80
  4. Step 4: Simplify right side
    977.09x = 415,947.21
  5. Step 5: Solve for x
    x = 415,947.21/977.09
  6. Step 6: Final answer
    x = 425.70

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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.