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Finding the Fourth Proportional to 802.53, 1,106.98 and 553.42

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Solution

The fourth proportional to 802.53, 1,106.98 and 553.42 is: 763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.53 : 1,106.98 = 553.42 : x
  2. Step 2: Convert to fraction form
    802.53/1,106.98 = 553.42/x
  3. Step 3: Cross multiply
    802.53x = 1,106.98 × 553.42
  4. Step 4: Simplify right side
    802.53x = 612,624.87
  5. Step 5: Solve for x
    x = 612,624.87/802.53
  6. Step 6: Final answer
    x = 763.37

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1.5x scale

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.