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Finding the Fourth Proportional to 1,535.40, 2,303.10 and 561.11

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Solution

The fourth proportional to 1,535.40, 2,303.10 and 561.11 is: 841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.40 : 2,303.10 = 561.11 : x
  2. Step 2: Convert to fraction form
    1,535.40/2,303.10 = 561.11/x
  3. Step 3: Cross multiply
    1,535.40x = 2,303.10 × 561.11
  4. Step 4: Simplify right side
    1,535.40x = 1,292,280.93
  5. Step 5: Solve for x
    x = 1,292,280.93/1,535.40
  6. Step 6: Final answer
    x = 841.66

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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.