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Finding the Fourth Proportional to 815.04, 1,214.25 and 775.05

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Solution

The fourth proportional to 815.04, 1,214.25 and 775.05 is: 1,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.04 : 1,214.25 = 775.05 : x
  2. Step 2: Convert to fraction form
    815.04/1,214.25 = 775.05/x
  3. Step 3: Cross multiply
    815.04x = 1,214.25 × 775.05
  4. Step 4: Simplify right side
    815.04x = 941,104.46
  5. Step 5: Solve for x
    x = 941,104.46/815.04
  6. Step 6: Final answer
    x = 1,154.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.