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Finding the Fourth Proportional to 589.84, 812.28 and 510.64

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Solution

The fourth proportional to 589.84, 812.28 and 510.64 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.84 : 812.28 = 510.64 : x
  2. Step 2: Convert to fraction form
    589.84/812.28 = 510.64/x
  3. Step 3: Cross multiply
    589.84x = 812.28 × 510.64
  4. Step 4: Simplify right side
    589.84x = 414,782.66
  5. Step 5: Solve for x
    x = 414,782.66/589.84
  6. Step 6: Final answer
    x = 703.21

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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.