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Finding the Fourth Proportional to 590.40, 812.88 and 458.64

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Solution

The fourth proportional to 590.40, 812.88 and 458.64 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 812.88 = 458.64 : x
  2. Step 2: Convert to fraction form
    590.40/812.88 = 458.64/x
  3. Step 3: Cross multiply
    590.40x = 812.88 × 458.64
  4. Step 4: Simplify right side
    590.40x = 372,819.28
  5. Step 5: Solve for x
    x = 372,819.28/590.40
  6. Step 6: Final answer
    x = 631.47

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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.