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Finding the Fourth Proportional to 590.61, 813.18 and 535.93

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Solution

The fourth proportional to 590.61, 813.18 and 535.93 is: 737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.61 : 813.18 = 535.93 : x
  2. Step 2: Convert to fraction form
    590.61/813.18 = 535.93/x
  3. Step 3: Cross multiply
    590.61x = 813.18 × 535.93
  4. Step 4: Simplify right side
    590.61x = 435,804.88
  5. Step 5: Solve for x
    x = 435,804.88/590.61
  6. Step 6: Final answer
    x = 737.90

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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.