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Finding the Fourth Proportional to 1,343.17, 1,852.75 and 845.40

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Solution

The fourth proportional to 1,343.17, 1,852.75 and 845.40 is: 1,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.17 : 1,852.75 = 845.40 : x
  2. Step 2: Convert to fraction form
    1,343.17/1,852.75 = 845.40/x
  3. Step 3: Cross multiply
    1,343.17x = 1,852.75 × 845.40
  4. Step 4: Simplify right side
    1,343.17x = 1,566,314.85
  5. Step 5: Solve for x
    x = 1,566,314.85/1,343.17
  6. Step 6: Final answer
    x = 1,166.13

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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.