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Finding the Fourth Proportional to 750.56, 1,035.72 and 419.00

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Solution

The fourth proportional to 750.56, 1,035.72 and 419.00 is: 578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.56 : 1,035.72 = 419.00 : x
  2. Step 2: Convert to fraction form
    750.56/1,035.72 = 419.00/x
  3. Step 3: Cross multiply
    750.56x = 1,035.72 × 419.00
  4. Step 4: Simplify right side
    750.56x = 433,961.50
  5. Step 5: Solve for x
    x = 433,961.50/750.56
  6. Step 6: Final answer
    x = 578.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.