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Finding the Fourth Proportional to 830.16, 1,146.54 and 645.88

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Solution

The fourth proportional to 830.16, 1,146.54 and 645.88 is: 892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,146.54 = 645.88 : x
  2. Step 2: Convert to fraction form
    830.16/1,146.54 = 645.88/x
  3. Step 3: Cross multiply
    830.16x = 1,146.54 × 645.88
  4. Step 4: Simplify right side
    830.16x = 740,527.26
  5. Step 5: Solve for x
    x = 740,527.26/830.16
  6. Step 6: Final answer
    x = 892.03

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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.