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Finding the Fourth Proportional to 830.01, 1,254.45 and 815.67

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Solution

The fourth proportional to 830.01, 1,254.45 and 815.67 is: 1,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.01 : 1,254.45 = 815.67 : x
  2. Step 2: Convert to fraction form
    830.01/1,254.45 = 815.67/x
  3. Step 3: Cross multiply
    830.01x = 1,254.45 × 815.67
  4. Step 4: Simplify right side
    830.01x = 1,023,220.29
  5. Step 5: Solve for x
    x = 1,023,220.29/830.01
  6. Step 6: Final answer
    x = 1,232.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.