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Finding the Fourth Proportional to 501.64, 751.50 and 386.28

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Solution

The fourth proportional to 501.64, 751.50 and 386.28 is: 578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 751.50 = 386.28 : x
  2. Step 2: Convert to fraction form
    501.64/751.50 = 386.28/x
  3. Step 3: Cross multiply
    501.64x = 751.50 × 386.28
  4. Step 4: Simplify right side
    501.64x = 290,289.42
  5. Step 5: Solve for x
    x = 290,289.42/501.64
  6. Step 6: Final answer
    x = 578.68

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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.