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Finding the Fourth Proportional to 746.37, 1,114.53 and 609.68

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Solution

The fourth proportional to 746.37, 1,114.53 and 609.68 is: 910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.37 : 1,114.53 = 609.68 : x
  2. Step 2: Convert to fraction form
    746.37/1,114.53 = 609.68/x
  3. Step 3: Cross multiply
    746.37x = 1,114.53 × 609.68
  4. Step 4: Simplify right side
    746.37x = 679,501.08
  5. Step 5: Solve for x
    x = 679,501.08/746.37
  6. Step 6: Final answer
    x = 910.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.