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Finding the Fourth Proportional to 1,064.95, 1,468.53 and 728.49

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Solution

The fourth proportional to 1,064.95, 1,468.53 and 728.49 is: 1,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.95 : 1,468.53 = 728.49 : x
  2. Step 2: Convert to fraction form
    1,064.95/1,468.53 = 728.49/x
  3. Step 3: Cross multiply
    1,064.95x = 1,468.53 × 728.49
  4. Step 4: Simplify right side
    1,064.95x = 1,069,814.93
  5. Step 5: Solve for x
    x = 1,069,814.93/1,064.95
  6. Step 6: Final answer
    x = 1,004.57

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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.