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Finding the Fourth Proportional to 597.18, 890.54 and 535.75

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Solution

The fourth proportional to 597.18, 890.54 and 535.75 is: 798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.18 : 890.54 = 535.75 : x
  2. Step 2: Convert to fraction form
    597.18/890.54 = 535.75/x
  3. Step 3: Cross multiply
    597.18x = 890.54 × 535.75
  4. Step 4: Simplify right side
    597.18x = 477,106.81
  5. Step 5: Solve for x
    x = 477,106.81/597.18
  6. Step 6: Final answer
    x = 798.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.