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Finding the Fourth Proportional to 573.86, 864.72 and 473.40

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Solution

The fourth proportional to 573.86, 864.72 and 473.40 is: 713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.86 : 864.72 = 473.40 : x
  2. Step 2: Convert to fraction form
    573.86/864.72 = 473.40/x
  3. Step 3: Cross multiply
    573.86x = 864.72 × 473.40
  4. Step 4: Simplify right side
    573.86x = 409,358.45
  5. Step 5: Solve for x
    x = 409,358.45/573.86
  6. Step 6: Final answer
    x = 713.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.