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Finding the Fourth Proportional to 802.31, 1,106.93 and 452.99

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Solution

The fourth proportional to 802.31, 1,106.93 and 452.99 is: 624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.31 : 1,106.93 = 452.99 : x
  2. Step 2: Convert to fraction form
    802.31/1,106.93 = 452.99/x
  3. Step 3: Cross multiply
    802.31x = 1,106.93 × 452.99
  4. Step 4: Simplify right side
    802.31x = 501,432.12
  5. Step 5: Solve for x
    x = 501,432.12/802.31
  6. Step 6: Final answer
    x = 624.99

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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.