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Finding the Fourth Proportional to 929.33, 1,392.95 and 435.98

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Solution

The fourth proportional to 929.33, 1,392.95 and 435.98 is: 653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.33 : 1,392.95 = 435.98 : x
  2. Step 2: Convert to fraction form
    929.33/1,392.95 = 435.98/x
  3. Step 3: Cross multiply
    929.33x = 1,392.95 × 435.98
  4. Step 4: Simplify right side
    929.33x = 607,289.20
  5. Step 5: Solve for x
    x = 607,289.20/929.33
  6. Step 6: Final answer
    x = 653.47

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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.