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Finding the Fourth Proportional to 802.01, 1,106.10 and 552.93

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Solution

The fourth proportional to 802.01, 1,106.10 and 552.93 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.01 : 1,106.10 = 552.93 : x
  2. Step 2: Convert to fraction form
    802.01/1,106.10 = 552.93/x
  3. Step 3: Cross multiply
    802.01x = 1,106.10 × 552.93
  4. Step 4: Simplify right side
    802.01x = 611,595.87
  5. Step 5: Solve for x
    x = 611,595.87/802.01
  6. Step 6: Final answer
    x = 762.58

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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.