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Finding the Fourth Proportional to 677.46, 933.74 and 456.34

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Solution

The fourth proportional to 677.46, 933.74 and 456.34 is: 628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.46 : 933.74 = 456.34 : x
  2. Step 2: Convert to fraction form
    677.46/933.74 = 456.34/x
  3. Step 3: Cross multiply
    677.46x = 933.74 × 456.34
  4. Step 4: Simplify right side
    677.46x = 426,102.91
  5. Step 5: Solve for x
    x = 426,102.91/677.46
  6. Step 6: Final answer
    x = 628.97

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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.