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Finding the Fourth Proportional to 1,066.37, 1,472.19 and 693.68

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Solution

The fourth proportional to 1,066.37, 1,472.19 and 693.68 is: 957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.37 : 1,472.19 = 693.68 : x
  2. Step 2: Convert to fraction form
    1,066.37/1,472.19 = 693.68/x
  3. Step 3: Cross multiply
    1,066.37x = 1,472.19 × 693.68
  4. Step 4: Simplify right side
    1,066.37x = 1,021,228.76
  5. Step 5: Solve for x
    x = 1,021,228.76/1,066.37
  6. Step 6: Final answer
    x = 957.67

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1.5x scale

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.