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Finding the Fourth Proportional to 750.84, 1,035.93 and 456.03

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Solution

The fourth proportional to 750.84, 1,035.93 and 456.03 is: 629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.84 : 1,035.93 = 456.03 : x
  2. Step 2: Convert to fraction form
    750.84/1,035.93 = 456.03/x
  3. Step 3: Cross multiply
    750.84x = 1,035.93 × 456.03
  4. Step 4: Simplify right side
    750.84x = 472,415.16
  5. Step 5: Solve for x
    x = 472,415.16/750.84
  6. Step 6: Final answer
    x = 629.18

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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.