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Finding the Fourth Proportional to 1,710.64, 2,563.48 and 929.98

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Solution

The fourth proportional to 1,710.64, 2,563.48 and 929.98 is: 1,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.64 : 2,563.48 = 929.98 : x
  2. Step 2: Convert to fraction form
    1,710.64/2,563.48 = 929.98/x
  3. Step 3: Cross multiply
    1,710.64x = 2,563.48 × 929.98
  4. Step 4: Simplify right side
    1,710.64x = 2,383,985.13
  5. Step 5: Solve for x
    x = 2,383,985.13/1,710.64
  6. Step 6: Final answer
    x = 1,393.62

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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.