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Finding the Fourth Proportional to 830.30, 1,145.81 and 457.28

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Solution

The fourth proportional to 830.30, 1,145.81 and 457.28 is: 631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.30 : 1,145.81 = 457.28 : x
  2. Step 2: Convert to fraction form
    830.30/1,145.81 = 457.28/x
  3. Step 3: Cross multiply
    830.30x = 1,145.81 × 457.28
  4. Step 4: Simplify right side
    830.30x = 523,957.14
  5. Step 5: Solve for x
    x = 523,957.14/830.30
  6. Step 6: Final answer
    x = 631.05

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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.