Home / 1,038.21-1,432.62-590.10

Finding the Fourth Proportional to 1,038.21, 1,432.62 and 590.10

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Solution

The fourth proportional to 1,038.21, 1,432.62 and 590.10 is: 814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.21 : 1,432.62 = 590.10 : x
  2. Step 2: Convert to fraction form
    1,038.21/1,432.62 = 590.10/x
  3. Step 3: Cross multiply
    1,038.21x = 1,432.62 × 590.10
  4. Step 4: Simplify right side
    1,038.21x = 845,389.06
  5. Step 5: Solve for x
    x = 845,389.06/1,038.21
  6. Step 6: Final answer
    x = 814.28

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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.