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Finding the Fourth Proportional to 802.84, 1,108.03 and 448.79

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Solution

The fourth proportional to 802.84, 1,108.03 and 448.79 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.84 : 1,108.03 = 448.79 : x
  2. Step 2: Convert to fraction form
    802.84/1,108.03 = 448.79/x
  3. Step 3: Cross multiply
    802.84x = 1,108.03 × 448.79
  4. Step 4: Simplify right side
    802.84x = 497,270.72
  5. Step 5: Solve for x
    x = 497,270.72/802.84
  6. Step 6: Final answer
    x = 619.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.