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Finding the Fourth Proportional to 678.76, 936.33 and 429.64

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Solution

The fourth proportional to 678.76, 936.33 and 429.64 is: 592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 936.33 = 429.64 : x
  2. Step 2: Convert to fraction form
    678.76/936.33 = 429.64/x
  3. Step 3: Cross multiply
    678.76x = 936.33 × 429.64
  4. Step 4: Simplify right side
    678.76x = 402,280.87
  5. Step 5: Solve for x
    x = 402,280.87/678.76
  6. Step 6: Final answer
    x = 592.67

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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.