Home / 1,315.52-1,973.39-437.84

Finding the Fourth Proportional to 1,315.52, 1,973.39 and 437.84

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Solution

The fourth proportional to 1,315.52, 1,973.39 and 437.84 is: 656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.52 : 1,973.39 = 437.84 : x
  2. Step 2: Convert to fraction form
    1,315.52/1,973.39 = 437.84/x
  3. Step 3: Cross multiply
    1,315.52x = 1,973.39 × 437.84
  4. Step 4: Simplify right side
    1,315.52x = 864,024.42
  5. Step 5: Solve for x
    x = 864,024.42/1,315.52
  6. Step 6: Final answer
    x = 656.79

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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.