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Finding the Fourth Proportional to 598.70, 899.42 and 434.68

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Solution

The fourth proportional to 598.70, 899.42 and 434.68 is: 653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 899.42 = 434.68 : x
  2. Step 2: Convert to fraction form
    598.70/899.42 = 434.68/x
  3. Step 3: Cross multiply
    598.70x = 899.42 × 434.68
  4. Step 4: Simplify right side
    598.70x = 390,955.46
  5. Step 5: Solve for x
    x = 390,955.46/598.70
  6. Step 6: Final answer
    x = 653.00

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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.