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Finding the Fourth Proportional to 830.04, 1,145.52 and 574.92

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Solution

The fourth proportional to 830.04, 1,145.52 and 574.92 is: 793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.04 : 1,145.52 = 574.92 : x
  2. Step 2: Convert to fraction form
    830.04/1,145.52 = 574.92/x
  3. Step 3: Cross multiply
    830.04x = 1,145.52 × 574.92
  4. Step 4: Simplify right side
    830.04x = 658,582.36
  5. Step 5: Solve for x
    x = 658,582.36/830.04
  6. Step 6: Final answer
    x = 793.43

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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.