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Finding the Fourth Proportional to 818.74, 1,127.94 and 569.63

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Solution

The fourth proportional to 818.74, 1,127.94 and 569.63 is: 784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.74 : 1,127.94 = 569.63 : x
  2. Step 2: Convert to fraction form
    818.74/1,127.94 = 569.63/x
  3. Step 3: Cross multiply
    818.74x = 1,127.94 × 569.63
  4. Step 4: Simplify right side
    818.74x = 642,512.35
  5. Step 5: Solve for x
    x = 642,512.35/818.74
  6. Step 6: Final answer
    x = 784.76

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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.