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Finding the Fourth Proportional to 929.54, 1,282.78 and 509.90

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Solution

The fourth proportional to 929.54, 1,282.78 and 509.90 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.54 : 1,282.78 = 509.90 : x
  2. Step 2: Convert to fraction form
    929.54/1,282.78 = 509.90/x
  3. Step 3: Cross multiply
    929.54x = 1,282.78 × 509.90
  4. Step 4: Simplify right side
    929.54x = 654,089.52
  5. Step 5: Solve for x
    x = 654,089.52/929.54
  6. Step 6: Final answer
    x = 703.67

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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.