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Finding the Fourth Proportional to 696.86, 1,045.64 and 492.74

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Solution

The fourth proportional to 696.86, 1,045.64 and 492.74 is: 739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 1,045.64 = 492.74 : x
  2. Step 2: Convert to fraction form
    696.86/1,045.64 = 492.74/x
  3. Step 3: Cross multiply
    696.86x = 1,045.64 × 492.74
  4. Step 4: Simplify right side
    696.86x = 515,226.19
  5. Step 5: Solve for x
    x = 515,226.19/696.86
  6. Step 6: Final answer
    x = 739.35

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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.