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Finding the Fourth Proportional to 795.67, 1,098.03 and 480.93

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Solution

The fourth proportional to 795.67, 1,098.03 and 480.93 is: 663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.67 : 1,098.03 = 480.93 : x
  2. Step 2: Convert to fraction form
    795.67/1,098.03 = 480.93/x
  3. Step 3: Cross multiply
    795.67x = 1,098.03 × 480.93
  4. Step 4: Simplify right side
    795.67x = 528,075.57
  5. Step 5: Solve for x
    x = 528,075.57/795.67
  6. Step 6: Final answer
    x = 663.69

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Why These Related Problems?

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