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Finding the Fourth Proportional to 561.16, 777.67 and 553.32

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Solution

The fourth proportional to 561.16, 777.67 and 553.32 is: 766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.16 : 777.67 = 553.32 : x
  2. Step 2: Convert to fraction form
    561.16/777.67 = 553.32/x
  3. Step 3: Cross multiply
    561.16x = 777.67 × 553.32
  4. Step 4: Simplify right side
    561.16x = 430,300.36
  5. Step 5: Solve for x
    x = 430,300.36/561.16
  6. Step 6: Final answer
    x = 766.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.