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Finding the Fourth Proportional to 524.51, 786.75 and 309.45

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Solution

The fourth proportional to 524.51, 786.75 and 309.45 is: 464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.51 : 786.75 = 309.45 : x
  2. Step 2: Convert to fraction form
    524.51/786.75 = 309.45/x
  3. Step 3: Cross multiply
    524.51x = 786.75 × 309.45
  4. Step 4: Simplify right side
    524.51x = 243,459.79
  5. Step 5: Solve for x
    x = 243,459.79/524.51
  6. Step 6: Final answer
    x = 464.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.