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Finding the Fourth Proportional to 1,710.50, 2,360.48 and 924.54

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Solution

The fourth proportional to 1,710.50, 2,360.48 and 924.54 is: 1,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.50 : 2,360.48 = 924.54 : x
  2. Step 2: Convert to fraction form
    1,710.50/2,360.48 = 924.54/x
  3. Step 3: Cross multiply
    1,710.50x = 2,360.48 × 924.54
  4. Step 4: Simplify right side
    1,710.50x = 2,182,355.87
  5. Step 5: Solve for x
    x = 2,182,355.87/1,710.50
  6. Step 6: Final answer
    x = 1,275.86

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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.