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Finding the Fourth Proportional to 929.10, 1,281.99 and 597.45

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Solution

The fourth proportional to 929.10, 1,281.99 and 597.45 is: 824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.10 : 1,281.99 = 597.45 : x
  2. Step 2: Convert to fraction form
    929.10/1,281.99 = 597.45/x
  3. Step 3: Cross multiply
    929.10x = 1,281.99 × 597.45
  4. Step 4: Simplify right side
    929.10x = 765,924.93
  5. Step 5: Solve for x
    x = 765,924.93/929.10
  6. Step 6: Final answer
    x = 824.37

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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.