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Finding the Fourth Proportional to 802.30, 1,106.99 and 522.52

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Solution

The fourth proportional to 802.30, 1,106.99 and 522.52 is: 720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.30 : 1,106.99 = 522.52 : x
  2. Step 2: Convert to fraction form
    802.30/1,106.99 = 522.52/x
  3. Step 3: Cross multiply
    802.30x = 1,106.99 × 522.52
  4. Step 4: Simplify right side
    802.30x = 578,424.41
  5. Step 5: Solve for x
    x = 578,424.41/802.30
  6. Step 6: Final answer
    x = 720.96

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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.