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Finding the Fourth Proportional to 456.77, 684.86 and 302.77

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Solution

The fourth proportional to 456.77, 684.86 and 302.77 is: 453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.77 : 684.86 = 302.77 : x
  2. Step 2: Convert to fraction form
    456.77/684.86 = 302.77/x
  3. Step 3: Cross multiply
    456.77x = 684.86 × 302.77
  4. Step 4: Simplify right side
    456.77x = 207,354.40
  5. Step 5: Solve for x
    x = 207,354.40/456.77
  6. Step 6: Final answer
    x = 453.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.