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Finding the Fourth Proportional to 1,045.70, 1,570.35 and 739.70

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Solution

The fourth proportional to 1,045.70, 1,570.35 and 739.70 is: 1,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.70 : 1,570.35 = 739.70 : x
  2. Step 2: Convert to fraction form
    1,045.70/1,570.35 = 739.70/x
  3. Step 3: Cross multiply
    1,045.70x = 1,570.35 × 739.70
  4. Step 4: Simplify right side
    1,045.70x = 1,161,587.90
  5. Step 5: Solve for x
    x = 1,161,587.90/1,045.70
  6. Step 6: Final answer
    x = 1,110.82

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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.