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Finding the Fourth Proportional to 977.77, 1,349.33 and 535.67

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Solution

The fourth proportional to 977.77, 1,349.33 and 535.67 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.77 : 1,349.33 = 535.67 : x
  2. Step 2: Convert to fraction form
    977.77/1,349.33 = 535.67/x
  3. Step 3: Cross multiply
    977.77x = 1,349.33 × 535.67
  4. Step 4: Simplify right side
    977.77x = 722,796.30
  5. Step 5: Solve for x
    x = 722,796.30/977.77
  6. Step 6: Final answer
    x = 739.23

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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.