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Finding the Fourth Proportional to 821.07, 1,225.13 and 802.40

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Solution

The fourth proportional to 821.07, 1,225.13 and 802.40 is: 1,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.07 : 1,225.13 = 802.40 : x
  2. Step 2: Convert to fraction form
    821.07/1,225.13 = 802.40/x
  3. Step 3: Cross multiply
    821.07x = 1,225.13 × 802.40
  4. Step 4: Simplify right side
    821.07x = 983,034.17
  5. Step 5: Solve for x
    x = 983,034.17/821.07
  6. Step 6: Final answer
    x = 1,197.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.