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Finding the Fourth Proportional to 498.02, 689.11 and 432.41

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Solution

The fourth proportional to 498.02, 689.11 and 432.41 is: 598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 689.11 = 432.41 : x
  2. Step 2: Convert to fraction form
    498.02/689.11 = 432.41/x
  3. Step 3: Cross multiply
    498.02x = 689.11 × 432.41
  4. Step 4: Simplify right side
    498.02x = 297,973.53
  5. Step 5: Solve for x
    x = 297,973.53/498.02
  6. Step 6: Final answer
    x = 598.32

Related Problems

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Double scale
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1.5x scale

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.