Finding the Fourth Proportional to 1,538, 2,306.99 and 383.75
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Solution
The fourth proportional to 1,538, 2,306.99 and 383.75 is: 575.62
Step by Step Solution
- Step 1: Write the proportion equation
1,538 : 2,306.99 = 383.75 : x - Step 2: Convert to fraction form
1,538/2,306.99 = 383.75/x - Step 3: Cross multiply
1,538x = 2,306.99 × 383.75 - Step 4: Simplify right side
1,538x = 885,307.41 - Step 5: Solve for x
x = 885,307.41/1,538 - Step 6: Final answer
x = 575.62
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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.