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Finding the Fourth Proportional to 1,570.70, 2,356.05 and 416.45

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Solution

The fourth proportional to 1,570.70, 2,356.05 and 416.45 is: 624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.70 : 2,356.05 = 416.45 : x
  2. Step 2: Convert to fraction form
    1,570.70/2,356.05 = 416.45/x
  3. Step 3: Cross multiply
    1,570.70x = 2,356.05 × 416.45
  4. Step 4: Simplify right side
    1,570.70x = 981,177.02
  5. Step 5: Solve for x
    x = 981,177.02/1,570.70
  6. Step 6: Final answer
    x = 624.68

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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.