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Finding the Fourth Proportional to 649.77, 969.06 and 552.89

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Solution

The fourth proportional to 649.77, 969.06 and 552.89 is: 824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.77 : 969.06 = 552.89 : x
  2. Step 2: Convert to fraction form
    649.77/969.06 = 552.89/x
  3. Step 3: Cross multiply
    649.77x = 969.06 × 552.89
  4. Step 4: Simplify right side
    649.77x = 535,778.74
  5. Step 5: Solve for x
    x = 535,778.74/649.77
  6. Step 6: Final answer
    x = 824.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.