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Finding the Fourth Proportional to 830.45, 1,145.27 and 664.67

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Solution

The fourth proportional to 830.45, 1,145.27 and 664.67 is: 916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.45 : 1,145.27 = 664.67 : x
  2. Step 2: Convert to fraction form
    830.45/1,145.27 = 664.67/x
  3. Step 3: Cross multiply
    830.45x = 1,145.27 × 664.67
  4. Step 4: Simplify right side
    830.45x = 761,223.29
  5. Step 5: Solve for x
    x = 761,223.29/830.45
  6. Step 6: Final answer
    x = 916.64

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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.