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Finding the Fourth Proportional to 750.50, 1,035.86 and 455.70

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Solution

The fourth proportional to 750.50, 1,035.86 and 455.70 is: 628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.50 : 1,035.86 = 455.70 : x
  2. Step 2: Convert to fraction form
    750.50/1,035.86 = 455.70/x
  3. Step 3: Cross multiply
    750.50x = 1,035.86 × 455.70
  4. Step 4: Simplify right side
    750.50x = 472,041.40
  5. Step 5: Solve for x
    x = 472,041.40/750.50
  6. Step 6: Final answer
    x = 628.97

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