Home / 1,037.12-1,431.08-571.40

Finding the Fourth Proportional to 1,037.12, 1,431.08 and 571.40

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Solution

The fourth proportional to 1,037.12, 1,431.08 and 571.40 is: 788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.12 : 1,431.08 = 571.40 : x
  2. Step 2: Convert to fraction form
    1,037.12/1,431.08 = 571.40/x
  3. Step 3: Cross multiply
    1,037.12x = 1,431.08 × 571.40
  4. Step 4: Simplify right side
    1,037.12x = 817,719.11
  5. Step 5: Solve for x
    x = 817,719.11/1,037.12
  6. Step 6: Final answer
    x = 788.45

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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.