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Finding the Fourth Proportional to 1,614.79, 2,228.41 and 916.16

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Solution

The fourth proportional to 1,614.79, 2,228.41 and 916.16 is: 1,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.79 : 2,228.41 = 916.16 : x
  2. Step 2: Convert to fraction form
    1,614.79/2,228.41 = 916.16/x
  3. Step 3: Cross multiply
    1,614.79x = 2,228.41 × 916.16
  4. Step 4: Simplify right side
    1,614.79x = 2,041,580.11
  5. Step 5: Solve for x
    x = 2,041,580.11/1,614.79
  6. Step 6: Final answer
    x = 1,264.30

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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.