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Finding the Fourth Proportional to 1,164.64, 1,607.60 and 751.36

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Solution

The fourth proportional to 1,164.64, 1,607.60 and 751.36 is: 1,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.64 : 1,607.60 = 751.36 : x
  2. Step 2: Convert to fraction form
    1,164.64/1,607.60 = 751.36/x
  3. Step 3: Cross multiply
    1,164.64x = 1,607.60 × 751.36
  4. Step 4: Simplify right side
    1,164.64x = 1,207,886.34
  5. Step 5: Solve for x
    x = 1,207,886.34/1,164.64
  6. Step 6: Final answer
    x = 1,037.13

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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.