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Finding the Fourth Proportional to 756.74, 1,045.31 and 609.93

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Solution

The fourth proportional to 756.74, 1,045.31 and 609.93 is: 842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.74 : 1,045.31 = 609.93 : x
  2. Step 2: Convert to fraction form
    756.74/1,045.31 = 609.93/x
  3. Step 3: Cross multiply
    756.74x = 1,045.31 × 609.93
  4. Step 4: Simplify right side
    756.74x = 637,562.88
  5. Step 5: Solve for x
    x = 637,562.88/756.74
  6. Step 6: Final answer
    x = 842.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.