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Finding the Fourth Proportional to 929.66, 1,393.00 and 490.89

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Solution

The fourth proportional to 929.66, 1,393.00 and 490.89 is: 735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.66 : 1,393.00 = 490.89 : x
  2. Step 2: Convert to fraction form
    929.66/1,393.00 = 490.89/x
  3. Step 3: Cross multiply
    929.66x = 1,393.00 × 490.89
  4. Step 4: Simplify right side
    929.66x = 683,808.64
  5. Step 5: Solve for x
    x = 683,808.64/929.66
  6. Step 6: Final answer
    x = 735.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.