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Finding the Fourth Proportional to 802.06, 1,106.98 and 465.91

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Solution

The fourth proportional to 802.06, 1,106.98 and 465.91 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.06 : 1,106.98 = 465.91 : x
  2. Step 2: Convert to fraction form
    802.06/1,106.98 = 465.91/x
  3. Step 3: Cross multiply
    802.06x = 1,106.98 × 465.91
  4. Step 4: Simplify right side
    802.06x = 515,750.72
  5. Step 5: Solve for x
    x = 515,750.72/802.06
  6. Step 6: Final answer
    x = 643.03

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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.