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Finding the Fourth Proportional to 1,074.19, 1,610.63 and 457.55

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Solution

The fourth proportional to 1,074.19, 1,610.63 and 457.55 is: 686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.19 : 1,610.63 = 457.55 : x
  2. Step 2: Convert to fraction form
    1,074.19/1,610.63 = 457.55/x
  3. Step 3: Cross multiply
    1,074.19x = 1,610.63 × 457.55
  4. Step 4: Simplify right side
    1,074.19x = 736,943.76
  5. Step 5: Solve for x
    x = 736,943.76/1,074.19
  6. Step 6: Final answer
    x = 686.05

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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.