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Finding the Fourth Proportional to 1,430.69, 2,148.08 and 815.63

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Solution

The fourth proportional to 1,430.69, 2,148.08 and 815.63 is: 1,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.69 : 2,148.08 = 815.63 : x
  2. Step 2: Convert to fraction form
    1,430.69/2,148.08 = 815.63/x
  3. Step 3: Cross multiply
    1,430.69x = 2,148.08 × 815.63
  4. Step 4: Simplify right side
    1,430.69x = 1,752,023.67
  5. Step 5: Solve for x
    x = 1,752,023.67/1,430.69
  6. Step 6: Final answer
    x = 1,224.60

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1.5x scale

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.