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Finding the Fourth Proportional to 665.06, 992.66 and 624.02

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Solution

The fourth proportional to 665.06, 992.66 and 624.02 is: 931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.06 : 992.66 = 624.02 : x
  2. Step 2: Convert to fraction form
    665.06/992.66 = 624.02/x
  3. Step 3: Cross multiply
    665.06x = 992.66 × 624.02
  4. Step 4: Simplify right side
    665.06x = 619,439.69
  5. Step 5: Solve for x
    x = 619,439.69/665.06
  6. Step 6: Final answer
    x = 931.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.