Finding the Fourth Proportional to 1,603.87, 2,406 and 507.84
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Solution
The fourth proportional to 1,603.87, 2,406 and 507.84 is: 761.82
Step by Step Solution
- Step 1: Write the proportion equation
1,603.87 : 2,406 = 507.84 : x - Step 2: Convert to fraction form
1,603.87/2,406 = 507.84/x - Step 3: Cross multiply
1,603.87x = 2,406 × 507.84 - Step 4: Simplify right side
1,603.87x = 1,221,857.03 - Step 5: Solve for x
x = 1,221,857.03/1,603.87 - Step 6: Final answer
x = 761.82
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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.