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Finding the Fourth Proportional to 587.90, 811.62 and 430.38

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Solution

The fourth proportional to 587.90, 811.62 and 430.38 is: 594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.90 : 811.62 = 430.38 : x
  2. Step 2: Convert to fraction form
    587.90/811.62 = 430.38/x
  3. Step 3: Cross multiply
    587.90x = 811.62 × 430.38
  4. Step 4: Simplify right side
    587.90x = 349,305.02
  5. Step 5: Solve for x
    x = 349,305.02/587.90
  6. Step 6: Final answer
    x = 594.16

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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.