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Finding the Fourth Proportional to 1,317.29, 1,815.35 and 943.61

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Solution

The fourth proportional to 1,317.29, 1,815.35 and 943.61 is: 1,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.29 : 1,815.35 = 943.61 : x
  2. Step 2: Convert to fraction form
    1,317.29/1,815.35 = 943.61/x
  3. Step 3: Cross multiply
    1,317.29x = 1,815.35 × 943.61
  4. Step 4: Simplify right side
    1,317.29x = 1,712,968.62
  5. Step 5: Solve for x
    x = 1,712,968.62/1,317.29
  6. Step 6: Final answer
    x = 1,300.38

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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.