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Finding the Fourth Proportional to 1,567.12, 2,349.14 and 641.40

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Solution

The fourth proportional to 1,567.12, 2,349.14 and 641.40 is: 961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.12 : 2,349.14 = 641.40 : x
  2. Step 2: Convert to fraction form
    1,567.12/2,349.14 = 641.40/x
  3. Step 3: Cross multiply
    1,567.12x = 2,349.14 × 641.40
  4. Step 4: Simplify right side
    1,567.12x = 1,506,738.40
  5. Step 5: Solve for x
    x = 1,506,738.40/1,567.12
  6. Step 6: Final answer
    x = 961.47

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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.