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Finding the Fourth Proportional to 1,038.26, 1,558.02 and 453.16

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Solution

The fourth proportional to 1,038.26, 1,558.02 and 453.16 is: 680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.26 : 1,558.02 = 453.16 : x
  2. Step 2: Convert to fraction form
    1,038.26/1,558.02 = 453.16/x
  3. Step 3: Cross multiply
    1,038.26x = 1,558.02 × 453.16
  4. Step 4: Simplify right side
    1,038.26x = 706,032.34
  5. Step 5: Solve for x
    x = 706,032.34/1,038.26
  6. Step 6: Final answer
    x = 680.01

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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.