Home / 1,315.34-1,972.57-437.60

Finding the Fourth Proportional to 1,315.34, 1,972.57 and 437.60

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Solution

The fourth proportional to 1,315.34, 1,972.57 and 437.60 is: 656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.34 : 1,972.57 = 437.60 : x
  2. Step 2: Convert to fraction form
    1,315.34/1,972.57 = 437.60/x
  3. Step 3: Cross multiply
    1,315.34x = 1,972.57 × 437.60
  4. Step 4: Simplify right side
    1,315.34x = 863,199.23
  5. Step 5: Solve for x
    x = 863,199.23/1,315.34
  6. Step 6: Final answer
    x = 656.26

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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.