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Finding the Fourth Proportional to 598.02, 895.05 and 421.98

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Solution

The fourth proportional to 598.02, 895.05 and 421.98 is: 631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 895.05 = 421.98 : x
  2. Step 2: Convert to fraction form
    598.02/895.05 = 421.98/x
  3. Step 3: Cross multiply
    598.02x = 895.05 × 421.98
  4. Step 4: Simplify right side
    598.02x = 377,693.20
  5. Step 5: Solve for x
    x = 377,693.20/598.02
  6. Step 6: Final answer
    x = 631.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.