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Finding the Fourth Proportional to 1,607.48, 2,218.74 and 909.08

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Solution

The fourth proportional to 1,607.48, 2,218.74 and 909.08 is: 1,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.48 : 2,218.74 = 909.08 : x
  2. Step 2: Convert to fraction form
    1,607.48/2,218.74 = 909.08/x
  3. Step 3: Cross multiply
    1,607.48x = 2,218.74 × 909.08
  4. Step 4: Simplify right side
    1,607.48x = 2,017,012.16
  5. Step 5: Solve for x
    x = 2,017,012.16/1,607.48
  6. Step 6: Final answer
    x = 1,254.77

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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.