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Finding the Fourth Proportional to 802.84, 1,209.07 and 621.40

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Solution

The fourth proportional to 802.84, 1,209.07 and 621.40 is: 935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.84 : 1,209.07 = 621.40 : x
  2. Step 2: Convert to fraction form
    802.84/1,209.07 = 621.40/x
  3. Step 3: Cross multiply
    802.84x = 1,209.07 × 621.40
  4. Step 4: Simplify right side
    802.84x = 751,316.10
  5. Step 5: Solve for x
    x = 751,316.10/802.84
  6. Step 6: Final answer
    x = 935.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.