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Finding the Fourth Proportional to 930.77, 1,284.41 and 557.78

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Solution

The fourth proportional to 930.77, 1,284.41 and 557.78 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.77 : 1,284.41 = 557.78 : x
  2. Step 2: Convert to fraction form
    930.77/1,284.41 = 557.78/x
  3. Step 3: Cross multiply
    930.77x = 1,284.41 × 557.78
  4. Step 4: Simplify right side
    930.77x = 716,415.42
  5. Step 5: Solve for x
    x = 716,415.42/930.77
  6. Step 6: Final answer
    x = 769.70

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1.5x scale

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.