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Finding the Fourth Proportional to 750.66, 1,035.40 and 485.12

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Solution

The fourth proportional to 750.66, 1,035.40 and 485.12 is: 669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.66 : 1,035.40 = 485.12 : x
  2. Step 2: Convert to fraction form
    750.66/1,035.40 = 485.12/x
  3. Step 3: Cross multiply
    750.66x = 1,035.40 × 485.12
  4. Step 4: Simplify right side
    750.66x = 502,293.25
  5. Step 5: Solve for x
    x = 502,293.25/750.66
  6. Step 6: Final answer
    x = 669.14

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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.