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Finding the Fourth Proportional to 1,045.81, 1,565.98 and 735.98

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Solution

The fourth proportional to 1,045.81, 1,565.98 and 735.98 is: 1,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.81 : 1,565.98 = 735.98 : x
  2. Step 2: Convert to fraction form
    1,045.81/1,565.98 = 735.98/x
  3. Step 3: Cross multiply
    1,045.81x = 1,565.98 × 735.98
  4. Step 4: Simplify right side
    1,045.81x = 1,152,532.04
  5. Step 5: Solve for x
    x = 1,152,532.04/1,045.81
  6. Step 6: Final answer
    x = 1,102.05

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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.