Home / 1,605.08-2,407.35-631.46

Finding the Fourth Proportional to 1,605.08, 2,407.35 and 631.46

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Solution

The fourth proportional to 1,605.08, 2,407.35 and 631.46 is: 947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.08 : 2,407.35 = 631.46 : x
  2. Step 2: Convert to fraction form
    1,605.08/2,407.35 = 631.46/x
  3. Step 3: Cross multiply
    1,605.08x = 2,407.35 × 631.46
  4. Step 4: Simplify right side
    1,605.08x = 1,520,145.23
  5. Step 5: Solve for x
    x = 1,520,145.23/1,605.08
  6. Step 6: Final answer
    x = 947.08

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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.