Home / 1,407.50-2,111.53-433.56

Finding the Fourth Proportional to 1,407.50, 2,111.53 and 433.56

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Solution

The fourth proportional to 1,407.50, 2,111.53 and 433.56 is: 650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.50 : 2,111.53 = 433.56 : x
  2. Step 2: Convert to fraction form
    1,407.50/2,111.53 = 433.56/x
  3. Step 3: Cross multiply
    1,407.50x = 2,111.53 × 433.56
  4. Step 4: Simplify right side
    1,407.50x = 915,474.95
  5. Step 5: Solve for x
    x = 915,474.95/1,407.50
  6. Step 6: Final answer
    x = 650.43

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1.5x scale

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.