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Finding the Fourth Proportional to 831.10, 1,148.14 and 645.06

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Solution

The fourth proportional to 831.10, 1,148.14 and 645.06 is: 891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.10 : 1,148.14 = 645.06 : x
  2. Step 2: Convert to fraction form
    831.10/1,148.14 = 645.06/x
  3. Step 3: Cross multiply
    831.10x = 1,148.14 × 645.06
  4. Step 4: Simplify right side
    831.10x = 740,619.19
  5. Step 5: Solve for x
    x = 740,619.19/831.10
  6. Step 6: Final answer
    x = 891.13

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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.