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Finding the Fourth Proportional to 797.50, 1,100.28 and 502.84

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Solution

The fourth proportional to 797.50, 1,100.28 and 502.84 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.50 : 1,100.28 = 502.84 : x
  2. Step 2: Convert to fraction form
    797.50/1,100.28 = 502.84/x
  3. Step 3: Cross multiply
    797.50x = 1,100.28 × 502.84
  4. Step 4: Simplify right side
    797.50x = 553,264.80
  5. Step 5: Solve for x
    x = 553,264.80/797.50
  6. Step 6: Final answer
    x = 693.75

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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.