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Finding the Fourth Proportional to 802.15, 1,106.55 and 522.04

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Solution

The fourth proportional to 802.15, 1,106.55 and 522.04 is: 720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.15 : 1,106.55 = 522.04 : x
  2. Step 2: Convert to fraction form
    802.15/1,106.55 = 522.04/x
  3. Step 3: Cross multiply
    802.15x = 1,106.55 × 522.04
  4. Step 4: Simplify right side
    802.15x = 577,663.36
  5. Step 5: Solve for x
    x = 577,663.36/802.15
  6. Step 6: Final answer
    x = 720.14

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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.