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Finding the Fourth Proportional to 1,672.25, 2,307.64 and 916.02

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Solution

The fourth proportional to 1,672.25, 2,307.64 and 916.02 is: 1,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.25 : 2,307.64 = 916.02 : x
  2. Step 2: Convert to fraction form
    1,672.25/2,307.64 = 916.02/x
  3. Step 3: Cross multiply
    1,672.25x = 2,307.64 × 916.02
  4. Step 4: Simplify right side
    1,672.25x = 2,113,837.33
  5. Step 5: Solve for x
    x = 2,113,837.33/1,672.25
  6. Step 6: Final answer
    x = 1,264.07

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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.