Home / 1,237.04-1,854.34-507.14

Finding the Fourth Proportional to 1,237.04, 1,854.34 and 507.14

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Solution

The fourth proportional to 1,237.04, 1,854.34 and 507.14 is: 760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.04 : 1,854.34 = 507.14 : x
  2. Step 2: Convert to fraction form
    1,237.04/1,854.34 = 507.14/x
  3. Step 3: Cross multiply
    1,237.04x = 1,854.34 × 507.14
  4. Step 4: Simplify right side
    1,237.04x = 940,409.99
  5. Step 5: Solve for x
    x = 940,409.99/1,237.04
  6. Step 6: Final answer
    x = 760.21

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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.