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Finding the Fourth Proportional to 1,117.47, 1,675.56 and 386.67

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Solution

The fourth proportional to 1,117.47, 1,675.56 and 386.67 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.47 : 1,675.56 = 386.67 : x
  2. Step 2: Convert to fraction form
    1,117.47/1,675.56 = 386.67/x
  3. Step 3: Cross multiply
    1,117.47x = 1,675.56 × 386.67
  4. Step 4: Simplify right side
    1,117.47x = 647,888.79
  5. Step 5: Solve for x
    x = 647,888.79/1,117.47
  6. Step 6: Final answer
    x = 579.78

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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.