Home / 1,023.12-1,533.51-438.60

Finding the Fourth Proportional to 1,023.12, 1,533.51 and 438.60

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Solution

The fourth proportional to 1,023.12, 1,533.51 and 438.60 is: 657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.12 : 1,533.51 = 438.60 : x
  2. Step 2: Convert to fraction form
    1,023.12/1,533.51 = 438.60/x
  3. Step 3: Cross multiply
    1,023.12x = 1,533.51 × 438.60
  4. Step 4: Simplify right side
    1,023.12x = 672,597.49
  5. Step 5: Solve for x
    x = 672,597.49/1,023.12
  6. Step 6: Final answer
    x = 657.40

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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.