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Finding the Fourth Proportional to 1,342.02, 1,852.38 and 782.62

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Solution

The fourth proportional to 1,342.02, 1,852.38 and 782.62 is: 1,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.02 : 1,852.38 = 782.62 : x
  2. Step 2: Convert to fraction form
    1,342.02/1,852.38 = 782.62/x
  3. Step 3: Cross multiply
    1,342.02x = 1,852.38 × 782.62
  4. Step 4: Simplify right side
    1,342.02x = 1,449,709.64
  5. Step 5: Solve for x
    x = 1,449,709.64/1,342.02
  6. Step 6: Final answer
    x = 1,080.24

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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.