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Finding the Fourth Proportional to 1,712.35, 2,567.55 and 671.62

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Solution

The fourth proportional to 1,712.35, 2,567.55 and 671.62 is: 1,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.35 : 2,567.55 = 671.62 : x
  2. Step 2: Convert to fraction form
    1,712.35/2,567.55 = 671.62/x
  3. Step 3: Cross multiply
    1,712.35x = 2,567.55 × 671.62
  4. Step 4: Simplify right side
    1,712.35x = 1,724,417.93
  5. Step 5: Solve for x
    x = 1,724,417.93/1,712.35
  6. Step 6: Final answer
    x = 1,007.05

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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.