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Finding the Fourth Proportional to 670.10, 922.29 and 582.26

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Solution

The fourth proportional to 670.10, 922.29 and 582.26 is: 801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.10 : 922.29 = 582.26 : x
  2. Step 2: Convert to fraction form
    670.10/922.29 = 582.26/x
  3. Step 3: Cross multiply
    670.10x = 922.29 × 582.26
  4. Step 4: Simplify right side
    670.10x = 537,012.58
  5. Step 5: Solve for x
    x = 537,012.58/670.10
  6. Step 6: Final answer
    x = 801.39

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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.