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Finding the Fourth Proportional to 1,070.55, 1,603.85 and 584.01

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Solution

The fourth proportional to 1,070.55, 1,603.85 and 584.01 is: 874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.55 : 1,603.85 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,070.55/1,603.85 = 584.01/x
  3. Step 3: Cross multiply
    1,070.55x = 1,603.85 × 584.01
  4. Step 4: Simplify right side
    1,070.55x = 936,661.52
  5. Step 5: Solve for x
    x = 936,661.52/1,070.55
  6. Step 6: Final answer
    x = 874.93

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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.