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Finding the Fourth Proportional to 1,710.48, 2,565.67 and 477.85

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Solution

The fourth proportional to 1,710.48, 2,565.67 and 477.85 is: 716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.48 : 2,565.67 = 477.85 : x
  2. Step 2: Convert to fraction form
    1,710.48/2,565.67 = 477.85/x
  3. Step 3: Cross multiply
    1,710.48x = 2,565.67 × 477.85
  4. Step 4: Simplify right side
    1,710.48x = 1,226,005.41
  5. Step 5: Solve for x
    x = 1,226,005.41/1,710.48
  6. Step 6: Final answer
    x = 716.76

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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.