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Finding the Fourth Proportional to 501.37, 750.93 and 390.82

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Solution

The fourth proportional to 501.37, 750.93 and 390.82 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.37 : 750.93 = 390.82 : x
  2. Step 2: Convert to fraction form
    501.37/750.93 = 390.82/x
  3. Step 3: Cross multiply
    501.37x = 750.93 × 390.82
  4. Step 4: Simplify right side
    501.37x = 293,478.46
  5. Step 5: Solve for x
    x = 293,478.46/501.37
  6. Step 6: Final answer
    x = 585.35

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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.