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Finding the Fourth Proportional to 900.93, 1,350.75 and 461.64

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Solution

The fourth proportional to 900.93, 1,350.75 and 461.64 is: 692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.93 : 1,350.75 = 461.64 : x
  2. Step 2: Convert to fraction form
    900.93/1,350.75 = 461.64/x
  3. Step 3: Cross multiply
    900.93x = 1,350.75 × 461.64
  4. Step 4: Simplify right side
    900.93x = 623,560.23
  5. Step 5: Solve for x
    x = 623,560.23/900.93
  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.