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Finding the Fourth Proportional to 929.05, 1,393.57 and 415.69

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Solution

The fourth proportional to 929.05, 1,393.57 and 415.69 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.05 : 1,393.57 = 415.69 : x
  2. Step 2: Convert to fraction form
    929.05/1,393.57 = 415.69/x
  3. Step 3: Cross multiply
    929.05x = 1,393.57 × 415.69
  4. Step 4: Simplify right side
    929.05x = 579,290.67
  5. Step 5: Solve for x
    x = 579,290.67/929.05
  6. Step 6: Final answer
    x = 623.53

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1.5x scale

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.