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Finding the Fourth Proportional to 797.65, 1,101.07 and 466.19

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Solution

The fourth proportional to 797.65, 1,101.07 and 466.19 is: 643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.65 : 1,101.07 = 466.19 : x
  2. Step 2: Convert to fraction form
    797.65/1,101.07 = 466.19/x
  3. Step 3: Cross multiply
    797.65x = 1,101.07 × 466.19
  4. Step 4: Simplify right side
    797.65x = 513,307.82
  5. Step 5: Solve for x
    x = 513,307.82/797.65
  6. Step 6: Final answer
    x = 643.53

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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.