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Finding the Fourth Proportional to 802.86, 1,204.30 and 340.53

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Solution

The fourth proportional to 802.86, 1,204.30 and 340.53 is: 510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.86 : 1,204.30 = 340.53 : x
  2. Step 2: Convert to fraction form
    802.86/1,204.30 = 340.53/x
  3. Step 3: Cross multiply
    802.86x = 1,204.30 × 340.53
  4. Step 4: Simplify right side
    802.86x = 410,100.28
  5. Step 5: Solve for x
    x = 410,100.28/802.86
  6. Step 6: Final answer
    x = 510.80

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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.