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Finding the Fourth Proportional to 1,303.32, 1,798.67 and 860.45

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Solution

The fourth proportional to 1,303.32, 1,798.67 and 860.45 is: 1,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.32 : 1,798.67 = 860.45 : x
  2. Step 2: Convert to fraction form
    1,303.32/1,798.67 = 860.45/x
  3. Step 3: Cross multiply
    1,303.32x = 1,798.67 × 860.45
  4. Step 4: Simplify right side
    1,303.32x = 1,547,652.31
  5. Step 5: Solve for x
    x = 1,547,652.31/1,303.32
  6. Step 6: Final answer
    x = 1,187.47

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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.