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Finding the Fourth Proportional to 857.84, 1,280.01 and 805.59

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Solution

The fourth proportional to 857.84, 1,280.01 and 805.59 is: 1,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.84 : 1,280.01 = 805.59 : x
  2. Step 2: Convert to fraction form
    857.84/1,280.01 = 805.59/x
  3. Step 3: Cross multiply
    857.84x = 1,280.01 × 805.59
  4. Step 4: Simplify right side
    857.84x = 1,031,163.26
  5. Step 5: Solve for x
    x = 1,031,163.26/857.84
  6. Step 6: Final answer
    x = 1,202.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.