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Finding the Fourth Proportional to 597.48, 824.13 and 498.35

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Solution

The fourth proportional to 597.48, 824.13 and 498.35 is: 687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.48 : 824.13 = 498.35 : x
  2. Step 2: Convert to fraction form
    597.48/824.13 = 498.35/x
  3. Step 3: Cross multiply
    597.48x = 824.13 × 498.35
  4. Step 4: Simplify right side
    597.48x = 410,701.06
  5. Step 5: Solve for x
    x = 410,701.06/597.48
  6. Step 6: Final answer
    x = 687.39

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Half scale
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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.