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Finding the Fourth Proportional to 802.85, 1,204.28 and 750.05

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Solution

The fourth proportional to 802.85, 1,204.28 and 750.05 is: 1,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.85 : 1,204.28 = 750.05 : x
  2. Step 2: Convert to fraction form
    802.85/1,204.28 = 750.05/x
  3. Step 3: Cross multiply
    802.85x = 1,204.28 × 750.05
  4. Step 4: Simplify right side
    802.85x = 903,266.46
  5. Step 5: Solve for x
    x = 903,266.46/802.85
  6. Step 6: Final answer
    x = 1,125.08

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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.