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Finding the Fourth Proportional to 709.51, 978.45 and 469.81

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Solution

The fourth proportional to 709.51, 978.45 and 469.81 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.51 : 978.45 = 469.81 : x
  2. Step 2: Convert to fraction form
    709.51/978.45 = 469.81/x
  3. Step 3: Cross multiply
    709.51x = 978.45 × 469.81
  4. Step 4: Simplify right side
    709.51x = 459,685.59
  5. Step 5: Solve for x
    x = 459,685.59/709.51
  6. Step 6: Final answer
    x = 647.89

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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.