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Finding the Fourth Proportional to 651.68, 978.48 and 470.12

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Solution

The fourth proportional to 651.68, 978.48 and 470.12 is: 705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 978.48 = 470.12 : x
  2. Step 2: Convert to fraction form
    651.68/978.48 = 470.12/x
  3. Step 3: Cross multiply
    651.68x = 978.48 × 470.12
  4. Step 4: Simplify right side
    651.68x = 460,003.02
  5. Step 5: Solve for x
    x = 460,003.02/651.68
  6. Step 6: Final answer
    x = 705.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.