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Finding the Fourth Proportional to 589.21, 812.15 and 470.98

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Solution

The fourth proportional to 589.21, 812.15 and 470.98 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.21 : 812.15 = 470.98 : x
  2. Step 2: Convert to fraction form
    589.21/812.15 = 470.98/x
  3. Step 3: Cross multiply
    589.21x = 812.15 × 470.98
  4. Step 4: Simplify right side
    589.21x = 382,502.02
  5. Step 5: Solve for x
    x = 382,502.02/589.21
  6. Step 6: Final answer
    x = 649.17

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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.