Home / 1,506.42-2,259.35-410.53

Finding the Fourth Proportional to 1,506.42, 2,259.35 and 410.53

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Solution

The fourth proportional to 1,506.42, 2,259.35 and 410.53 is: 615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.42 : 2,259.35 = 410.53 : x
  2. Step 2: Convert to fraction form
    1,506.42/2,259.35 = 410.53/x
  3. Step 3: Cross multiply
    1,506.42x = 2,259.35 × 410.53
  4. Step 4: Simplify right side
    1,506.42x = 927,528.90
  5. Step 5: Solve for x
    x = 927,528.90/1,506.42
  6. Step 6: Final answer
    x = 615.72

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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.