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Finding the Fourth Proportional to 746.66, 1,117.59 and 399.12

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Solution

The fourth proportional to 746.66, 1,117.59 and 399.12 is: 597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,117.59 = 399.12 : x
  2. Step 2: Convert to fraction form
    746.66/1,117.59 = 399.12/x
  3. Step 3: Cross multiply
    746.66x = 1,117.59 × 399.12
  4. Step 4: Simplify right side
    746.66x = 446,055.31
  5. Step 5: Solve for x
    x = 446,055.31/746.66
  6. Step 6: Final answer
    x = 597.40

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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.