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Finding the Fourth Proportional to 857.97, 1,287.63 and 493.07

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Solution

The fourth proportional to 857.97, 1,287.63 and 493.07 is: 739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,287.63 = 493.07 : x
  2. Step 2: Convert to fraction form
    857.97/1,287.63 = 493.07/x
  3. Step 3: Cross multiply
    857.97x = 1,287.63 × 493.07
  4. Step 4: Simplify right side
    857.97x = 634,885.29
  5. Step 5: Solve for x
    x = 634,885.29/857.97
  6. Step 6: Final answer
    x = 739.99

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1.5x scale

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.