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Finding the Fourth Proportional to 1,256.67, 1,885.04 and 707.67

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Solution

The fourth proportional to 1,256.67, 1,885.04 and 707.67 is: 1,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.67 : 1,885.04 = 707.67 : x
  2. Step 2: Convert to fraction form
    1,256.67/1,885.04 = 707.67/x
  3. Step 3: Cross multiply
    1,256.67x = 1,885.04 × 707.67
  4. Step 4: Simplify right side
    1,256.67x = 1,333,982.72
  5. Step 5: Solve for x
    x = 1,333,982.72/1,256.67
  6. Step 6: Final answer
    x = 1,061.52

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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.