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Finding the Fourth Proportional to 1,243.40, 1,715.88 and 683.86

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Solution

The fourth proportional to 1,243.40, 1,715.88 and 683.86 is: 943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.40 : 1,715.88 = 683.86 : x
  2. Step 2: Convert to fraction form
    1,243.40/1,715.88 = 683.86/x
  3. Step 3: Cross multiply
    1,243.40x = 1,715.88 × 683.86
  4. Step 4: Simplify right side
    1,243.40x = 1,173,421.70
  5. Step 5: Solve for x
    x = 1,173,421.70/1,243.40
  6. Step 6: Final answer
    x = 943.72

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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.