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Finding the Fourth Proportional to 1,463.41, 2,017.86 and 931.45

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Solution

The fourth proportional to 1,463.41, 2,017.86 and 931.45 is: 1,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.41 : 2,017.86 = 931.45 : x
  2. Step 2: Convert to fraction form
    1,463.41/2,017.86 = 931.45/x
  3. Step 3: Cross multiply
    1,463.41x = 2,017.86 × 931.45
  4. Step 4: Simplify right side
    1,463.41x = 1,879,533.42
  5. Step 5: Solve for x
    x = 1,879,533.42/1,463.41
  6. Step 6: Final answer
    x = 1,284.35

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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.