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Finding the Fourth Proportional to 1,206.84, 1,663.98 and 1,020

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Solution

The fourth proportional to 1,206.84, 1,663.98 and 1,020 is: 1,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.84 : 1,663.98 = 1,020 : x
  2. Step 2: Convert to fraction form
    1,206.84/1,663.98 = 1,020/x
  3. Step 3: Cross multiply
    1,206.84x = 1,663.98 × 1,020
  4. Step 4: Simplify right side
    1,206.84x = 1,697,259.60
  5. Step 5: Solve for x
    x = 1,697,259.60/1,206.84
  6. Step 6: Final answer
    x = 1,406.37

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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.