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Finding the Fourth Proportional to 598.10, 900.65 and 521.96

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Solution

The fourth proportional to 598.10, 900.65 and 521.96 is: 786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 900.65 = 521.96 : x
  2. Step 2: Convert to fraction form
    598.10/900.65 = 521.96/x
  3. Step 3: Cross multiply
    598.10x = 900.65 × 521.96
  4. Step 4: Simplify right side
    598.10x = 470,106.83
  5. Step 5: Solve for x
    x = 470,106.83/598.10
  6. Step 6: Final answer
    x = 786.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.