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Finding the Fourth Proportional to 1,284.99, 1,925.39 and 976.46

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Solution

The fourth proportional to 1,284.99, 1,925.39 and 976.46 is: 1,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.99 : 1,925.39 = 976.46 : x
  2. Step 2: Convert to fraction form
    1,284.99/1,925.39 = 976.46/x
  3. Step 3: Cross multiply
    1,284.99x = 1,925.39 × 976.46
  4. Step 4: Simplify right side
    1,284.99x = 1,880,051.81
  5. Step 5: Solve for x
    x = 1,880,051.81/1,284.99
  6. Step 6: Final answer
    x = 1,463.09

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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.