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Finding the Fourth Proportional to 1,603.98, 2,407.32 and 630.77

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Solution

The fourth proportional to 1,603.98, 2,407.32 and 630.77 is: 946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.98 : 2,407.32 = 630.77 : x
  2. Step 2: Convert to fraction form
    1,603.98/2,407.32 = 630.77/x
  3. Step 3: Cross multiply
    1,603.98x = 2,407.32 × 630.77
  4. Step 4: Simplify right side
    1,603.98x = 1,518,465.24
  5. Step 5: Solve for x
    x = 1,518,465.24/1,603.98
  6. Step 6: Final answer
    x = 946.69

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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.