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Finding the Fourth Proportional to 830.02, 1,145.34 and 475.96

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Solution

The fourth proportional to 830.02, 1,145.34 and 475.96 is: 656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.02 : 1,145.34 = 475.96 : x
  2. Step 2: Convert to fraction form
    830.02/1,145.34 = 475.96/x
  3. Step 3: Cross multiply
    830.02x = 1,145.34 × 475.96
  4. Step 4: Simplify right side
    830.02x = 545,136.03
  5. Step 5: Solve for x
    x = 545,136.03/830.02
  6. Step 6: Final answer
    x = 656.77

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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.