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Finding the Fourth Proportional to 1,047.69, 1,570.43 and 354.11

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Solution

The fourth proportional to 1,047.69, 1,570.43 and 354.11 is: 530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.69 : 1,570.43 = 354.11 : x
  2. Step 2: Convert to fraction form
    1,047.69/1,570.43 = 354.11/x
  3. Step 3: Cross multiply
    1,047.69x = 1,570.43 × 354.11
  4. Step 4: Simplify right side
    1,047.69x = 556,107.12
  5. Step 5: Solve for x
    x = 556,107.12/1,047.69
  6. Step 6: Final answer
    x = 530.79

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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.