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Finding the Fourth Proportional to 1,503.91, 2,075.48 and 840.77

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Solution

The fourth proportional to 1,503.91, 2,075.48 and 840.77 is: 1,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.91 : 2,075.48 = 840.77 : x
  2. Step 2: Convert to fraction form
    1,503.91/2,075.48 = 840.77/x
  3. Step 3: Cross multiply
    1,503.91x = 2,075.48 × 840.77
  4. Step 4: Simplify right side
    1,503.91x = 1,744,997.12
  5. Step 5: Solve for x
    x = 1,744,997.12/1,503.91
  6. Step 6: Final answer
    x = 1,160.31

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1.5x scale

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.