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Finding the Fourth Proportional to 1,565.86, 2,348.90 and 470.14

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Solution

The fourth proportional to 1,565.86, 2,348.90 and 470.14 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.86 : 2,348.90 = 470.14 : x
  2. Step 2: Convert to fraction form
    1,565.86/2,348.90 = 470.14/x
  3. Step 3: Cross multiply
    1,565.86x = 2,348.90 × 470.14
  4. Step 4: Simplify right side
    1,565.86x = 1,104,311.85
  5. Step 5: Solve for x
    x = 1,104,311.85/1,565.86
  6. Step 6: Final answer
    x = 705.24

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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.