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Finding the Fourth Proportional to 923.95, 1,386.47 and 916.53

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Solution

The fourth proportional to 923.95, 1,386.47 and 916.53 is: 1,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.95 : 1,386.47 = 916.53 : x
  2. Step 2: Convert to fraction form
    923.95/1,386.47 = 916.53/x
  3. Step 3: Cross multiply
    923.95x = 1,386.47 × 916.53
  4. Step 4: Simplify right side
    923.95x = 1,270,733.29
  5. Step 5: Solve for x
    x = 1,270,733.29/923.95
  6. Step 6: Final answer
    x = 1,375.33

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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.