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Finding the Fourth Proportional to 1,038.39, 1,433.00 and 572.64

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Solution

The fourth proportional to 1,038.39, 1,433.00 and 572.64 is: 790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.39 : 1,433.00 = 572.64 : x
  2. Step 2: Convert to fraction form
    1,038.39/1,433.00 = 572.64/x
  3. Step 3: Cross multiply
    1,038.39x = 1,433.00 × 572.64
  4. Step 4: Simplify right side
    1,038.39x = 820,590.26
  5. Step 5: Solve for x
    x = 820,590.26/1,038.39
  6. Step 6: Final answer
    x = 790.25

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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.