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Finding the Fourth Proportional to 940.82, 1,297.80 and 567.63

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Solution

The fourth proportional to 940.82, 1,297.80 and 567.63 is: 783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.82 : 1,297.80 = 567.63 : x
  2. Step 2: Convert to fraction form
    940.82/1,297.80 = 567.63/x
  3. Step 3: Cross multiply
    940.82x = 1,297.80 × 567.63
  4. Step 4: Simplify right side
    940.82x = 736,670.21
  5. Step 5: Solve for x
    x = 736,670.21/940.82
  6. Step 6: Final answer
    x = 783.01

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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.