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Finding the Fourth Proportional to 1,655.90, 2,484.18 and 561.04

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Solution

The fourth proportional to 1,655.90, 2,484.18 and 561.04 is: 841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.90 : 2,484.18 = 561.04 : x
  2. Step 2: Convert to fraction form
    1,655.90/2,484.18 = 561.04/x
  3. Step 3: Cross multiply
    1,655.90x = 2,484.18 × 561.04
  4. Step 4: Simplify right side
    1,655.90x = 1,393,724.35
  5. Step 5: Solve for x
    x = 1,393,724.35/1,655.90
  6. Step 6: Final answer
    x = 841.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.