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Finding the Fourth Proportional to 1,403.67, 2,105.73 and 710.19

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Solution

The fourth proportional to 1,403.67, 2,105.73 and 710.19 is: 1,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.67 : 2,105.73 = 710.19 : x
  2. Step 2: Convert to fraction form
    1,403.67/2,105.73 = 710.19/x
  3. Step 3: Cross multiply
    1,403.67x = 2,105.73 × 710.19
  4. Step 4: Simplify right side
    1,403.67x = 1,495,468.39
  5. Step 5: Solve for x
    x = 1,495,468.39/1,403.67
  6. Step 6: Final answer
    x = 1,065.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.