Home / 1,484.40-2,225.96-457.84

Finding the Fourth Proportional to 1,484.40, 2,225.96 and 457.84

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Solution

The fourth proportional to 1,484.40, 2,225.96 and 457.84 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.40 : 2,225.96 = 457.84 : x
  2. Step 2: Convert to fraction form
    1,484.40/2,225.96 = 457.84/x
  3. Step 3: Cross multiply
    1,484.40x = 2,225.96 × 457.84
  4. Step 4: Simplify right side
    1,484.40x = 1,019,133.53
  5. Step 5: Solve for x
    x = 1,019,133.53/1,484.40
  6. Step 6: Final answer
    x = 686.56

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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.