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Finding the Fourth Proportional to 1,004.57, 1,386.30 and 655.25

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Solution

The fourth proportional to 1,004.57, 1,386.30 and 655.25 is: 904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.57 : 1,386.30 = 655.25 : x
  2. Step 2: Convert to fraction form
    1,004.57/1,386.30 = 655.25/x
  3. Step 3: Cross multiply
    1,004.57x = 1,386.30 × 655.25
  4. Step 4: Simplify right side
    1,004.57x = 908,369.80
  5. Step 5: Solve for x
    x = 908,369.80/1,004.57
  6. Step 6: Final answer
    x = 904.24

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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.