Finding the Fourth Proportional to 521.91, 782.46 and 278.64
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Solution
The fourth proportional to 521.91, 782.46 and 278.64 is: 417.74
Step by Step Solution
- Step 1: Write the proportion equation
521.91 : 782.46 = 278.64 : x - Step 2: Convert to fraction form
521.91/782.46 = 278.64/x - Step 3: Cross multiply
521.91x = 782.46 × 278.64 - Step 4: Simplify right side
521.91x = 218,024.65 - Step 5: Solve for x
x = 218,024.65/521.91 - Step 6: Final answer
x = 417.74
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.