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Finding the Fourth Proportional to 1,400.13, 1,931.77 and 810.45

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Solution

The fourth proportional to 1,400.13, 1,931.77 and 810.45 is: 1,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.13 : 1,931.77 = 810.45 : x
  2. Step 2: Convert to fraction form
    1,400.13/1,931.77 = 810.45/x
  3. Step 3: Cross multiply
    1,400.13x = 1,931.77 × 810.45
  4. Step 4: Simplify right side
    1,400.13x = 1,565,603.00
  5. Step 5: Solve for x
    x = 1,565,603.00/1,400.13
  6. Step 6: Final answer
    x = 1,118.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.