Home / 1,538.28-2,307.36-512.28

Finding the Fourth Proportional to 1,538.28, 2,307.36 and 512.28

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Solution

The fourth proportional to 1,538.28, 2,307.36 and 512.28 is: 768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.28 : 2,307.36 = 512.28 : x
  2. Step 2: Convert to fraction form
    1,538.28/2,307.36 = 512.28/x
  3. Step 3: Cross multiply
    1,538.28x = 2,307.36 × 512.28
  4. Step 4: Simplify right side
    1,538.28x = 1,182,014.38
  5. Step 5: Solve for x
    x = 1,182,014.38/1,538.28
  6. Step 6: Final answer
    x = 768.40

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1.5x scale

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.