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Finding the Fourth Proportional to 802.04, 1,203.46 and 545

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Solution

The fourth proportional to 802.04, 1,203.46 and 545 is: 817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,203.46 = 545 : x
  2. Step 2: Convert to fraction form
    802.04/1,203.46 = 545/x
  3. Step 3: Cross multiply
    802.04x = 1,203.46 × 545
  4. Step 4: Simplify right side
    802.04x = 655,885.70
  5. Step 5: Solve for x
    x = 655,885.70/802.04
  6. Step 6: Final answer
    x = 817.77

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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.