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Finding the Fourth Proportional to 818.90, 1,128.70 and 597.57

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Solution

The fourth proportional to 818.90, 1,128.70 and 597.57 is: 823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.90 : 1,128.70 = 597.57 : x
  2. Step 2: Convert to fraction form
    818.90/1,128.70 = 597.57/x
  3. Step 3: Cross multiply
    818.90x = 1,128.70 × 597.57
  4. Step 4: Simplify right side
    818.90x = 674,477.26
  5. Step 5: Solve for x
    x = 674,477.26/818.90
  6. Step 6: Final answer
    x = 823.64

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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.