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Finding the Fourth Proportional to 750.51, 1,035.65 and 419.00

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Solution

The fourth proportional to 750.51, 1,035.65 and 419.00 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.51 : 1,035.65 = 419.00 : x
  2. Step 2: Convert to fraction form
    750.51/1,035.65 = 419.00/x
  3. Step 3: Cross multiply
    750.51x = 1,035.65 × 419.00
  4. Step 4: Simplify right side
    750.51x = 433,933.22
  5. Step 5: Solve for x
    x = 433,933.22/750.51
  6. Step 6: Final answer
    x = 578.18

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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.