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Finding the Fourth Proportional to 830.47, 1,145.86 and 609.04

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Solution

The fourth proportional to 830.47, 1,145.86 and 609.04 is: 840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.47 : 1,145.86 = 609.04 : x
  2. Step 2: Convert to fraction form
    830.47/1,145.86 = 609.04/x
  3. Step 3: Cross multiply
    830.47x = 1,145.86 × 609.04
  4. Step 4: Simplify right side
    830.47x = 697,874.57
  5. Step 5: Solve for x
    x = 697,874.57/830.47
  6. Step 6: Final answer
    x = 840.34

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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.