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Finding the Fourth Proportional to 698.96, 1,048.23 and 456.77

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Solution

The fourth proportional to 698.96, 1,048.23 and 456.77 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.96 : 1,048.23 = 456.77 : x
  2. Step 2: Convert to fraction form
    698.96/1,048.23 = 456.77/x
  3. Step 3: Cross multiply
    698.96x = 1,048.23 × 456.77
  4. Step 4: Simplify right side
    698.96x = 478,800.02
  5. Step 5: Solve for x
    x = 478,800.02/698.96
  6. Step 6: Final answer
    x = 685.02

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Why These Related Problems?

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