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Finding the Fourth Proportional to 670.30, 925.20 and 460.78

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Solution

The fourth proportional to 670.30, 925.20 and 460.78 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.30 : 925.20 = 460.78 : x
  2. Step 2: Convert to fraction form
    670.30/925.20 = 460.78/x
  3. Step 3: Cross multiply
    670.30x = 925.20 × 460.78
  4. Step 4: Simplify right side
    670.30x = 426,313.66
  5. Step 5: Solve for x
    x = 426,313.66/670.30
  6. Step 6: Final answer
    x = 636.00

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1.5x scale

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.