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Finding the Fourth Proportional to 1,049.49, 1,565.07 and 931.48

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Solution

The fourth proportional to 1,049.49, 1,565.07 and 931.48 is: 1,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.49 : 1,565.07 = 931.48 : x
  2. Step 2: Convert to fraction form
    1,049.49/1,565.07 = 931.48/x
  3. Step 3: Cross multiply
    1,049.49x = 1,565.07 × 931.48
  4. Step 4: Simplify right side
    1,049.49x = 1,457,831.40
  5. Step 5: Solve for x
    x = 1,457,831.40/1,049.49
  6. Step 6: Final answer
    x = 1,389.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.