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Finding the Fourth Proportional to 802.40, 1,202.63 and 340.07

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Solution

The fourth proportional to 802.40, 1,202.63 and 340.07 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.40 : 1,202.63 = 340.07 : x
  2. Step 2: Convert to fraction form
    802.40/1,202.63 = 340.07/x
  3. Step 3: Cross multiply
    802.40x = 1,202.63 × 340.07
  4. Step 4: Simplify right side
    802.40x = 408,970.67
  5. Step 5: Solve for x
    x = 408,970.67/802.40
  6. Step 6: Final answer
    x = 509.69

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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.