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Finding the Fourth Proportional to 723.51, 1,085.56 and 399.10

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Solution

The fourth proportional to 723.51, 1,085.56 and 399.10 is: 598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.51 : 1,085.56 = 399.10 : x
  2. Step 2: Convert to fraction form
    723.51/1,085.56 = 399.10/x
  3. Step 3: Cross multiply
    723.51x = 1,085.56 × 399.10
  4. Step 4: Simplify right side
    723.51x = 433,247.00
  5. Step 5: Solve for x
    x = 433,247.00/723.51
  6. Step 6: Final answer
    x = 598.82

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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.