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Finding the Fourth Proportional to 570.64, 850.28 and 554.74

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Solution

The fourth proportional to 570.64, 850.28 and 554.74 is: 826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.64 : 850.28 = 554.74 : x
  2. Step 2: Convert to fraction form
    570.64/850.28 = 554.74/x
  3. Step 3: Cross multiply
    570.64x = 850.28 × 554.74
  4. Step 4: Simplify right side
    570.64x = 471,683.59
  5. Step 5: Solve for x
    x = 471,683.59/570.64
  6. Step 6: Final answer
    x = 826.59

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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.