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Finding the Fourth Proportional to 561.40, 778.02 and 553.57

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Solution

The fourth proportional to 561.40, 778.02 and 553.57 is: 767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.40 : 778.02 = 553.57 : x
  2. Step 2: Convert to fraction form
    561.40/778.02 = 553.57/x
  3. Step 3: Cross multiply
    561.40x = 778.02 × 553.57
  4. Step 4: Simplify right side
    561.40x = 430,688.53
  5. Step 5: Solve for x
    x = 430,688.53/561.40
  6. Step 6: Final answer
    x = 767.17

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1.5x scale

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.