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Finding the Fourth Proportional to 1,071.30, 1,484.12 and 1,045.78

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Solution

The fourth proportional to 1,071.30, 1,484.12 and 1,045.78 is: 1,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.30 : 1,484.12 = 1,045.78 : x
  2. Step 2: Convert to fraction form
    1,071.30/1,484.12 = 1,045.78/x
  3. Step 3: Cross multiply
    1,071.30x = 1,484.12 × 1,045.78
  4. Step 4: Simplify right side
    1,071.30x = 1,552,063.01
  5. Step 5: Solve for x
    x = 1,552,063.01/1,071.30
  6. Step 6: Final answer
    x = 1,448.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.