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Finding the Fourth Proportional to 589.48, 813.58 and 340.76

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Solution

The fourth proportional to 589.48, 813.58 and 340.76 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.48 : 813.58 = 340.76 : x
  2. Step 2: Convert to fraction form
    589.48/813.58 = 340.76/x
  3. Step 3: Cross multiply
    589.48x = 813.58 × 340.76
  4. Step 4: Simplify right side
    589.48x = 277,231.45
  5. Step 5: Solve for x
    x = 277,231.45/589.48
  6. Step 6: Final answer
    x = 470.30

Related Problems

Find fourth proportional to 294.74, 406.79 and 170.38
Half scale
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Double scale
Find fourth proportional to 590.48, 814.96 and 341.76
Similar ratio
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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.