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Finding the Fourth Proportional to 699.37, 1,048.63 and 482.71

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Solution

The fourth proportional to 699.37, 1,048.63 and 482.71 is: 723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.37 : 1,048.63 = 482.71 : x
  2. Step 2: Convert to fraction form
    699.37/1,048.63 = 482.71/x
  3. Step 3: Cross multiply
    699.37x = 1,048.63 × 482.71
  4. Step 4: Simplify right side
    699.37x = 506,184.19
  5. Step 5: Solve for x
    x = 506,184.19/699.37
  6. Step 6: Final answer
    x = 723.77

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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.