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Finding the Fourth Proportional to 1,413.68, 1,949.28 and 915.68

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Solution

The fourth proportional to 1,413.68, 1,949.28 and 915.68 is: 1,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.68 : 1,949.28 = 915.68 : x
  2. Step 2: Convert to fraction form
    1,413.68/1,949.28 = 915.68/x
  3. Step 3: Cross multiply
    1,413.68x = 1,949.28 × 915.68
  4. Step 4: Simplify right side
    1,413.68x = 1,784,916.71
  5. Step 5: Solve for x
    x = 1,784,916.71/1,413.68
  6. Step 6: Final answer
    x = 1,262.60

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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.