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Finding the Fourth Proportional to 750.47, 1,035.62 and 418.89

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Solution

The fourth proportional to 750.47, 1,035.62 and 418.89 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.47 : 1,035.62 = 418.89 : x
  2. Step 2: Convert to fraction form
    750.47/1,035.62 = 418.89/x
  3. Step 3: Cross multiply
    750.47x = 1,035.62 × 418.89
  4. Step 4: Simplify right side
    750.47x = 433,808.77
  5. Step 5: Solve for x
    x = 433,808.77/750.47
  6. Step 6: Final answer
    x = 578.05

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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.