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Finding the Fourth Proportional to 1,551.93, 2,328.29 and 902.10

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Solution

The fourth proportional to 1,551.93, 2,328.29 and 902.10 is: 1,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.93 : 2,328.29 = 902.10 : x
  2. Step 2: Convert to fraction form
    1,551.93/2,328.29 = 902.10/x
  3. Step 3: Cross multiply
    1,551.93x = 2,328.29 × 902.10
  4. Step 4: Simplify right side
    1,551.93x = 2,100,350.41
  5. Step 5: Solve for x
    x = 2,100,350.41/1,551.93
  6. Step 6: Final answer
    x = 1,353.38

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1.5x scale

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.