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Finding the Fourth Proportional to 587.25, 810.45 and 430.38

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Solution

The fourth proportional to 587.25, 810.45 and 430.38 is: 593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 810.45 = 430.38 : x
  2. Step 2: Convert to fraction form
    587.25/810.45 = 430.38/x
  3. Step 3: Cross multiply
    587.25x = 810.45 × 430.38
  4. Step 4: Simplify right side
    587.25x = 348,801.47
  5. Step 5: Solve for x
    x = 348,801.47/587.25
  6. Step 6: Final answer
    x = 593.96

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1.5x scale

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.