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Finding the Fourth Proportional to 589.61, 811.80 and 534.93

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Solution

The fourth proportional to 589.61, 811.80 and 534.93 is: 736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 811.80 = 534.93 : x
  2. Step 2: Convert to fraction form
    589.61/811.80 = 534.93/x
  3. Step 3: Cross multiply
    589.61x = 811.80 × 534.93
  4. Step 4: Simplify right side
    589.61x = 434,254.17
  5. Step 5: Solve for x
    x = 434,254.17/589.61
  6. Step 6: Final answer
    x = 736.52

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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.