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Finding the Fourth Proportional to 875.13, 1,312.26 and 412.51

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Solution

The fourth proportional to 875.13, 1,312.26 and 412.51 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.13 : 1,312.26 = 412.51 : x
  2. Step 2: Convert to fraction form
    875.13/1,312.26 = 412.51/x
  3. Step 3: Cross multiply
    875.13x = 1,312.26 × 412.51
  4. Step 4: Simplify right side
    875.13x = 541,320.37
  5. Step 5: Solve for x
    x = 541,320.37/875.13
  6. Step 6: Final answer
    x = 618.56

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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.