Home / 1,631.61-2,447.64-707.22

Finding the Fourth Proportional to 1,631.61, 2,447.64 and 707.22

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Solution

The fourth proportional to 1,631.61, 2,447.64 and 707.22 is: 1,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.61 : 2,447.64 = 707.22 : x
  2. Step 2: Convert to fraction form
    1,631.61/2,447.64 = 707.22/x
  3. Step 3: Cross multiply
    1,631.61x = 2,447.64 × 707.22
  4. Step 4: Simplify right side
    1,631.61x = 1,731,019.96
  5. Step 5: Solve for x
    x = 1,731,019.96/1,631.61
  6. Step 6: Final answer
    x = 1,060.93

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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.