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Finding the Fourth Proportional to 670.64, 1,011.06 and 623.66

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Solution

The fourth proportional to 670.64, 1,011.06 and 623.66 is: 940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 1,011.06 = 623.66 : x
  2. Step 2: Convert to fraction form
    670.64/1,011.06 = 623.66/x
  3. Step 3: Cross multiply
    670.64x = 1,011.06 × 623.66
  4. Step 4: Simplify right side
    670.64x = 630,552.62
  5. Step 5: Solve for x
    x = 630,552.62/670.64
  6. Step 6: Final answer
    x = 940.23

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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.