Home / 1,526.73-2,290.08-430.95

Finding the Fourth Proportional to 1,526.73, 2,290.08 and 430.95

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Solution

The fourth proportional to 1,526.73, 2,290.08 and 430.95 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.73 : 2,290.08 = 430.95 : x
  2. Step 2: Convert to fraction form
    1,526.73/2,290.08 = 430.95/x
  3. Step 3: Cross multiply
    1,526.73x = 2,290.08 × 430.95
  4. Step 4: Simplify right side
    1,526.73x = 986,909.98
  5. Step 5: Solve for x
    x = 986,909.98/1,526.73
  6. Step 6: Final answer
    x = 646.42

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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.