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Finding the Fourth Proportional to 647.21, 974.45 and 570.66

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Solution

The fourth proportional to 647.21, 974.45 and 570.66 is: 859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.21 : 974.45 = 570.66 : x
  2. Step 2: Convert to fraction form
    647.21/974.45 = 570.66/x
  3. Step 3: Cross multiply
    647.21x = 974.45 × 570.66
  4. Step 4: Simplify right side
    647.21x = 556,076.78
  5. Step 5: Solve for x
    x = 556,076.78/647.21
  6. Step 6: Final answer
    x = 859.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.