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Finding the Fourth Proportional to 1,045.33, 1,565.86 and 495.84

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Solution

The fourth proportional to 1,045.33, 1,565.86 and 495.84 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.33 : 1,565.86 = 495.84 : x
  2. Step 2: Convert to fraction form
    1,045.33/1,565.86 = 495.84/x
  3. Step 3: Cross multiply
    1,045.33x = 1,565.86 × 495.84
  4. Step 4: Simplify right side
    1,045.33x = 776,416.02
  5. Step 5: Solve for x
    x = 776,416.02/1,045.33
  6. Step 6: Final answer
    x = 742.75

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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.