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Finding the Fourth Proportional to 1,111.40, 1,666.80 and 453.08

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Solution

The fourth proportional to 1,111.40, 1,666.80 and 453.08 is: 679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.40 : 1,666.80 = 453.08 : x
  2. Step 2: Convert to fraction form
    1,111.40/1,666.80 = 453.08/x
  3. Step 3: Cross multiply
    1,111.40x = 1,666.80 × 453.08
  4. Step 4: Simplify right side
    1,111.40x = 755,193.74
  5. Step 5: Solve for x
    x = 755,193.74/1,111.40
  6. Step 6: Final answer
    x = 679.50

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1.5x scale

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.