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Finding the Fourth Proportional to 750.59, 1,035.77 and 419.01

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Solution

The fourth proportional to 750.59, 1,035.77 and 419.01 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.59 : 1,035.77 = 419.01 : x
  2. Step 2: Convert to fraction form
    750.59/1,035.77 = 419.01/x
  3. Step 3: Cross multiply
    750.59x = 1,035.77 × 419.01
  4. Step 4: Simplify right side
    750.59x = 433,995.89
  5. Step 5: Solve for x
    x = 433,995.89/750.59
  6. Step 6: Final answer
    x = 578.21

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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.