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Finding the Fourth Proportional to 730.68, 1,005.77 and 637.25

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Solution

The fourth proportional to 730.68, 1,005.77 and 637.25 is: 877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.68 : 1,005.77 = 637.25 : x
  2. Step 2: Convert to fraction form
    730.68/1,005.77 = 637.25/x
  3. Step 3: Cross multiply
    730.68x = 1,005.77 × 637.25
  4. Step 4: Simplify right side
    730.68x = 640,926.93
  5. Step 5: Solve for x
    x = 640,926.93/730.68
  6. Step 6: Final answer
    x = 877.17

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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.