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Finding the Fourth Proportional to 857.57, 1,284.80 and 597.02

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Solution

The fourth proportional to 857.57, 1,284.80 and 597.02 is: 894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.57 : 1,284.80 = 597.02 : x
  2. Step 2: Convert to fraction form
    857.57/1,284.80 = 597.02/x
  3. Step 3: Cross multiply
    857.57x = 1,284.80 × 597.02
  4. Step 4: Simplify right side
    857.57x = 767,041.89
  5. Step 5: Solve for x
    x = 767,041.89/857.57
  6. Step 6: Final answer
    x = 894.44

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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.