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Finding the Fourth Proportional to 501.12, 690.48 and 384.48

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Solution

The fourth proportional to 501.12, 690.48 and 384.48 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 690.48 = 384.48 : x
  2. Step 2: Convert to fraction form
    501.12/690.48 = 384.48/x
  3. Step 3: Cross multiply
    501.12x = 690.48 × 384.48
  4. Step 4: Simplify right side
    501.12x = 265,475.75
  5. Step 5: Solve for x
    x = 265,475.75/501.12
  6. Step 6: Final answer
    x = 529.76

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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.