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Finding the Fourth Proportional to 900.64, 1,241.20 and 651.53

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Solution

The fourth proportional to 900.64, 1,241.20 and 651.53 is: 897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.64 : 1,241.20 = 651.53 : x
  2. Step 2: Convert to fraction form
    900.64/1,241.20 = 651.53/x
  3. Step 3: Cross multiply
    900.64x = 1,241.20 × 651.53
  4. Step 4: Simplify right side
    900.64x = 808,669.57
  5. Step 5: Solve for x
    x = 808,669.57/900.64
  6. Step 6: Final answer
    x = 897.89

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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.