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Finding the Fourth Proportional to 1,570.01, 2,354.96 and 645.30

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Solution

The fourth proportional to 1,570.01, 2,354.96 and 645.30 is: 967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.01 : 2,354.96 = 645.30 : x
  2. Step 2: Convert to fraction form
    1,570.01/2,354.96 = 645.30/x
  3. Step 3: Cross multiply
    1,570.01x = 2,354.96 × 645.30
  4. Step 4: Simplify right side
    1,570.01x = 1,519,657.30
  5. Step 5: Solve for x
    x = 1,519,657.30/1,570.01
  6. Step 6: Final answer
    x = 967.93

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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.