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Finding the Fourth Proportional to 1,201.95, 1,802.58 and 461.51

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Solution

The fourth proportional to 1,201.95, 1,802.58 and 461.51 is: 692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.95 : 1,802.58 = 461.51 : x
  2. Step 2: Convert to fraction form
    1,201.95/1,802.58 = 461.51/x
  3. Step 3: Cross multiply
    1,201.95x = 1,802.58 × 461.51
  4. Step 4: Simplify right side
    1,201.95x = 831,913.20
  5. Step 5: Solve for x
    x = 831,913.20/1,201.95
  6. Step 6: Final answer
    x = 692.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.