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Finding the Fourth Proportional to 587.51, 810.78 and 388.50

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Solution

The fourth proportional to 587.51, 810.78 and 388.50 is: 536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.51 : 810.78 = 388.50 : x
  2. Step 2: Convert to fraction form
    587.51/810.78 = 388.50/x
  3. Step 3: Cross multiply
    587.51x = 810.78 × 388.50
  4. Step 4: Simplify right side
    587.51x = 314,988.03
  5. Step 5: Solve for x
    x = 314,988.03/587.51
  6. Step 6: Final answer
    x = 536.15

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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.