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Finding the Fourth Proportional to 1,436.23, 1,981.16 and 904.90

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Solution

The fourth proportional to 1,436.23, 1,981.16 and 904.90 is: 1,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.23 : 1,981.16 = 904.90 : x
  2. Step 2: Convert to fraction form
    1,436.23/1,981.16 = 904.90/x
  3. Step 3: Cross multiply
    1,436.23x = 1,981.16 × 904.90
  4. Step 4: Simplify right side
    1,436.23x = 1,792,747.16
  5. Step 5: Solve for x
    x = 1,792,747.16/1,436.23
  6. Step 6: Final answer
    x = 1,248.24

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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.