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Finding the Fourth Proportional to 1,004.53, 1,386.21 and 562.42

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Solution

The fourth proportional to 1,004.53, 1,386.21 and 562.42 is: 776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.53 : 1,386.21 = 562.42 : x
  2. Step 2: Convert to fraction form
    1,004.53/1,386.21 = 562.42/x
  3. Step 3: Cross multiply
    1,004.53x = 1,386.21 × 562.42
  4. Step 4: Simplify right side
    1,004.53x = 779,632.23
  5. Step 5: Solve for x
    x = 779,632.23/1,004.53
  6. Step 6: Final answer
    x = 776.12

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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.