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Finding the Fourth Proportional to 1,289.49, 1,779.50 and 700.04

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Solution

The fourth proportional to 1,289.49, 1,779.50 and 700.04 is: 966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.49 : 1,779.50 = 700.04 : x
  2. Step 2: Convert to fraction form
    1,289.49/1,779.50 = 700.04/x
  3. Step 3: Cross multiply
    1,289.49x = 1,779.50 × 700.04
  4. Step 4: Simplify right side
    1,289.49x = 1,245,727.38
  5. Step 5: Solve for x
    x = 1,245,727.38/1,289.49
  6. Step 6: Final answer
    x = 966.06

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1.5x scale

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.