Home / 1,023.17-1,536.11-607.47

Finding the Fourth Proportional to 1,023.17, 1,536.11 and 607.47

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Solution

The fourth proportional to 1,023.17, 1,536.11 and 607.47 is: 912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.17 : 1,536.11 = 607.47 : x
  2. Step 2: Convert to fraction form
    1,023.17/1,536.11 = 607.47/x
  3. Step 3: Cross multiply
    1,023.17x = 1,536.11 × 607.47
  4. Step 4: Simplify right side
    1,023.17x = 933,134.22
  5. Step 5: Solve for x
    x = 933,134.22/1,023.17
  6. Step 6: Final answer
    x = 912.01

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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.