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Finding the Fourth Proportional to 1,036.40, 1,430.55 and 617.06

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Solution

The fourth proportional to 1,036.40, 1,430.55 and 617.06 is: 851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.40 : 1,430.55 = 617.06 : x
  2. Step 2: Convert to fraction form
    1,036.40/1,430.55 = 617.06/x
  3. Step 3: Cross multiply
    1,036.40x = 1,430.55 × 617.06
  4. Step 4: Simplify right side
    1,036.40x = 882,738.76
  5. Step 5: Solve for x
    x = 882,738.76/1,036.40
  6. Step 6: Final answer
    x = 851.73

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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.