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Finding the Fourth Proportional to 648.34, 970.96 and 570.52

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Solution

The fourth proportional to 648.34, 970.96 and 570.52 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.34 : 970.96 = 570.52 : x
  2. Step 2: Convert to fraction form
    648.34/970.96 = 570.52/x
  3. Step 3: Cross multiply
    648.34x = 970.96 × 570.52
  4. Step 4: Simplify right side
    648.34x = 553,944.39
  5. Step 5: Solve for x
    x = 553,944.39/648.34
  6. Step 6: Final answer
    x = 854.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.