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Finding the Fourth Proportional to 560.47, 836.83 and 554.94

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Solution

The fourth proportional to 560.47, 836.83 and 554.94 is: 828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.47 : 836.83 = 554.94 : x
  2. Step 2: Convert to fraction form
    560.47/836.83 = 554.94/x
  3. Step 3: Cross multiply
    560.47x = 836.83 × 554.94
  4. Step 4: Simplify right side
    560.47x = 464,383.48
  5. Step 5: Solve for x
    x = 464,383.48/560.47
  6. Step 6: Final answer
    x = 828.56

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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.