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Finding the Fourth Proportional to 1,287.42, 1,931.52 and 466.08

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Solution

The fourth proportional to 1,287.42, 1,931.52 and 466.08 is: 699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.42 : 1,931.52 = 466.08 : x
  2. Step 2: Convert to fraction form
    1,287.42/1,931.52 = 466.08/x
  3. Step 3: Cross multiply
    1,287.42x = 1,931.52 × 466.08
  4. Step 4: Simplify right side
    1,287.42x = 900,242.84
  5. Step 5: Solve for x
    x = 900,242.84/1,287.42
  6. Step 6: Final answer
    x = 699.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.