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Finding the Fourth Proportional to 1,217.99, 1,678.69 and 970.13

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Solution

The fourth proportional to 1,217.99, 1,678.69 and 970.13 is: 1,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.99 : 1,678.69 = 970.13 : x
  2. Step 2: Convert to fraction form
    1,217.99/1,678.69 = 970.13/x
  3. Step 3: Cross multiply
    1,217.99x = 1,678.69 × 970.13
  4. Step 4: Simplify right side
    1,217.99x = 1,628,552.94
  5. Step 5: Solve for x
    x = 1,628,552.94/1,217.99
  6. Step 6: Final answer
    x = 1,337.08

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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.