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Finding the Fourth Proportional to 666.70, 920.45 and 430.73

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Solution

The fourth proportional to 666.70, 920.45 and 430.73 is: 594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.70 : 920.45 = 430.73 : x
  2. Step 2: Convert to fraction form
    666.70/920.45 = 430.73/x
  3. Step 3: Cross multiply
    666.70x = 920.45 × 430.73
  4. Step 4: Simplify right side
    666.70x = 396,465.43
  5. Step 5: Solve for x
    x = 396,465.43/666.70
  6. Step 6: Final answer
    x = 594.67

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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.