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Finding the Fourth Proportional to 1,363.48, 1,880.96 and 921.53

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Solution

The fourth proportional to 1,363.48, 1,880.96 and 921.53 is: 1,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.48 : 1,880.96 = 921.53 : x
  2. Step 2: Convert to fraction form
    1,363.48/1,880.96 = 921.53/x
  3. Step 3: Cross multiply
    1,363.48x = 1,880.96 × 921.53
  4. Step 4: Simplify right side
    1,363.48x = 1,733,361.16
  5. Step 5: Solve for x
    x = 1,733,361.16/1,363.48
  6. Step 6: Final answer
    x = 1,271.28

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1.5x scale

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.