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Finding the Fourth Proportional to 566.57, 848.20 and 430.15

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Solution

The fourth proportional to 566.57, 848.20 and 430.15 is: 643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.57 : 848.20 = 430.15 : x
  2. Step 2: Convert to fraction form
    566.57/848.20 = 430.15/x
  3. Step 3: Cross multiply
    566.57x = 848.20 × 430.15
  4. Step 4: Simplify right side
    566.57x = 364,853.23
  5. Step 5: Solve for x
    x = 364,853.23/566.57
  6. Step 6: Final answer
    x = 643.97

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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.