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Finding the Fourth Proportional to 715.90, 1,072.59 and 498.46

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Solution

The fourth proportional to 715.90, 1,072.59 and 498.46 is: 746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.90 : 1,072.59 = 498.46 : x
  2. Step 2: Convert to fraction form
    715.90/1,072.59 = 498.46/x
  3. Step 3: Cross multiply
    715.90x = 1,072.59 × 498.46
  4. Step 4: Simplify right side
    715.90x = 534,643.21
  5. Step 5: Solve for x
    x = 534,643.21/715.90
  6. Step 6: Final answer
    x = 746.81

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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.