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Finding the Fourth Proportional to 1,678.46, 2,316 and 1,048.88

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Solution

The fourth proportional to 1,678.46, 2,316 and 1,048.88 is: 1,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.46 : 2,316 = 1,048.88 : x
  2. Step 2: Convert to fraction form
    1,678.46/2,316 = 1,048.88/x
  3. Step 3: Cross multiply
    1,678.46x = 2,316 × 1,048.88
  4. Step 4: Simplify right side
    1,678.46x = 2,429,206.08
  5. Step 5: Solve for x
    x = 2,429,206.08/1,678.46
  6. Step 6: Final answer
    x = 1,447.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.