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Finding the Fourth Proportional to 802.23, 1,203.72 and 340.14

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Solution

The fourth proportional to 802.23, 1,203.72 and 340.14 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.23 : 1,203.72 = 340.14 : x
  2. Step 2: Convert to fraction form
    802.23/1,203.72 = 340.14/x
  3. Step 3: Cross multiply
    802.23x = 1,203.72 × 340.14
  4. Step 4: Simplify right side
    802.23x = 409,433.32
  5. Step 5: Solve for x
    x = 409,433.32/802.23
  6. Step 6: Final answer
    x = 510.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.