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Finding the Fourth Proportional to 830.44, 1,146.00 and 457.42

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Solution

The fourth proportional to 830.44, 1,146.00 and 457.42 is: 631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,146.00 = 457.42 : x
  2. Step 2: Convert to fraction form
    830.44/1,146.00 = 457.42/x
  3. Step 3: Cross multiply
    830.44x = 1,146.00 × 457.42
  4. Step 4: Simplify right side
    830.44x = 524,201.03
  5. Step 5: Solve for x
    x = 524,201.03/830.44
  6. Step 6: Final answer
    x = 631.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.