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Finding the Fourth Proportional to 1,556.55, 2,334.02 and 970.11

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Solution

The fourth proportional to 1,556.55, 2,334.02 and 970.11 is: 1,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.55 : 2,334.02 = 970.11 : x
  2. Step 2: Convert to fraction form
    1,556.55/2,334.02 = 970.11/x
  3. Step 3: Cross multiply
    1,556.55x = 2,334.02 × 970.11
  4. Step 4: Simplify right side
    1,556.55x = 2,264,251.29
  5. Step 5: Solve for x
    x = 2,264,251.29/1,556.55
  6. Step 6: Final answer
    x = 1,454.66

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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.