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Finding the Fourth Proportional to 816.58, 1,125.02 and 564.27

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Solution

The fourth proportional to 816.58, 1,125.02 and 564.27 is: 777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.58 : 1,125.02 = 564.27 : x
  2. Step 2: Convert to fraction form
    816.58/1,125.02 = 564.27/x
  3. Step 3: Cross multiply
    816.58x = 1,125.02 × 564.27
  4. Step 4: Simplify right side
    816.58x = 634,812.23
  5. Step 5: Solve for x
    x = 634,812.23/816.58
  6. Step 6: Final answer
    x = 777.40

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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.