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Finding the Fourth Proportional to 586.16, 807.72 and 430.64

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Solution

The fourth proportional to 586.16, 807.72 and 430.64 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 807.72 = 430.64 : x
  2. Step 2: Convert to fraction form
    586.16/807.72 = 430.64/x
  3. Step 3: Cross multiply
    586.16x = 807.72 × 430.64
  4. Step 4: Simplify right side
    586.16x = 347,836.54
  5. Step 5: Solve for x
    x = 347,836.54/586.16
  6. Step 6: Final answer
    x = 593.42

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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.