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Finding the Fourth Proportional to 666.14, 1,004.28 and 619.16

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Solution

The fourth proportional to 666.14, 1,004.28 and 619.16 is: 933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.14 : 1,004.28 = 619.16 : x
  2. Step 2: Convert to fraction form
    666.14/1,004.28 = 619.16/x
  3. Step 3: Cross multiply
    666.14x = 1,004.28 × 619.16
  4. Step 4: Simplify right side
    666.14x = 621,802.66
  5. Step 5: Solve for x
    x = 621,802.66/666.14
  6. Step 6: Final answer
    x = 933.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.