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Finding the Fourth Proportional to 1,570.58, 2,355.81 and 645.88

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Solution

The fourth proportional to 1,570.58, 2,355.81 and 645.88 is: 968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.58 : 2,355.81 = 645.88 : x
  2. Step 2: Convert to fraction form
    1,570.58/2,355.81 = 645.88/x
  3. Step 3: Cross multiply
    1,570.58x = 2,355.81 × 645.88
  4. Step 4: Simplify right side
    1,570.58x = 1,521,570.56
  5. Step 5: Solve for x
    x = 1,521,570.56/1,570.58
  6. Step 6: Final answer
    x = 968.80

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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.