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Finding the Fourth Proportional to 924.75, 1,276.45 and 645.08

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Solution

The fourth proportional to 924.75, 1,276.45 and 645.08 is: 890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,276.45 = 645.08 : x
  2. Step 2: Convert to fraction form
    924.75/1,276.45 = 645.08/x
  3. Step 3: Cross multiply
    924.75x = 1,276.45 × 645.08
  4. Step 4: Simplify right side
    924.75x = 823,412.37
  5. Step 5: Solve for x
    x = 823,412.37/924.75
  6. Step 6: Final answer
    x = 890.42

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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.