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Finding the Fourth Proportional to 875.42, 1,312.47 and 412.93

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Solution

The fourth proportional to 875.42, 1,312.47 and 412.93 is: 619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.42 : 1,312.47 = 412.93 : x
  2. Step 2: Convert to fraction form
    875.42/1,312.47 = 412.93/x
  3. Step 3: Cross multiply
    875.42x = 1,312.47 × 412.93
  4. Step 4: Simplify right side
    875.42x = 541,958.24
  5. Step 5: Solve for x
    x = 541,958.24/875.42
  6. Step 6: Final answer
    x = 619.09

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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.