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Finding the Fourth Proportional to 830.70, 1,145.61 and 664.92

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Solution

The fourth proportional to 830.70, 1,145.61 and 664.92 is: 916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.70 : 1,145.61 = 664.92 : x
  2. Step 2: Convert to fraction form
    830.70/1,145.61 = 664.92/x
  3. Step 3: Cross multiply
    830.70x = 1,145.61 × 664.92
  4. Step 4: Simplify right side
    830.70x = 761,739.00
  5. Step 5: Solve for x
    x = 761,739.00/830.70
  6. Step 6: Final answer
    x = 916.98

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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.