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Finding the Fourth Proportional to 942.67, 1,300.90 and 564.95

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Solution

The fourth proportional to 942.67, 1,300.90 and 564.95 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.67 : 1,300.90 = 564.95 : x
  2. Step 2: Convert to fraction form
    942.67/1,300.90 = 564.95/x
  3. Step 3: Cross multiply
    942.67x = 1,300.90 × 564.95
  4. Step 4: Simplify right side
    942.67x = 734,943.46
  5. Step 5: Solve for x
    x = 734,943.46/942.67
  6. Step 6: Final answer
    x = 779.64

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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.