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Finding the Fourth Proportional to 498.63, 688.31 and 358.77

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Solution

The fourth proportional to 498.63, 688.31 and 358.77 is: 495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.63 : 688.31 = 358.77 : x
  2. Step 2: Convert to fraction form
    498.63/688.31 = 358.77/x
  3. Step 3: Cross multiply
    498.63x = 688.31 × 358.77
  4. Step 4: Simplify right side
    498.63x = 246,939.74
  5. Step 5: Solve for x
    x = 246,939.74/498.63
  6. Step 6: Final answer
    x = 495.24

Related Problems

Find fourth proportional to 249.31, 344.15 and 179.38
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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.