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Finding the Fourth Proportional to 858.40, 1,184.93 and 596.57

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Solution

The fourth proportional to 858.40, 1,184.93 and 596.57 is: 823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.40 : 1,184.93 = 596.57 : x
  2. Step 2: Convert to fraction form
    858.40/1,184.93 = 596.57/x
  3. Step 3: Cross multiply
    858.40x = 1,184.93 × 596.57
  4. Step 4: Simplify right side
    858.40x = 706,887.02
  5. Step 5: Solve for x
    x = 706,887.02/858.40
  6. Step 6: Final answer
    x = 823.50

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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.