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Finding the Fourth Proportional to 611.16, 916.73 and 473.79

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Solution

The fourth proportional to 611.16, 916.73 and 473.79 is: 710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.16 : 916.73 = 473.79 : x
  2. Step 2: Convert to fraction form
    611.16/916.73 = 473.79/x
  3. Step 3: Cross multiply
    611.16x = 916.73 × 473.79
  4. Step 4: Simplify right side
    611.16x = 434,337.51
  5. Step 5: Solve for x
    x = 434,337.51/611.16
  6. Step 6: Final answer
    x = 710.68

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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.