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Finding the Fourth Proportional to 875.14, 1,312.17 and 509.74

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Solution

The fourth proportional to 875.14, 1,312.17 and 509.74 is: 764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.14 : 1,312.17 = 509.74 : x
  2. Step 2: Convert to fraction form
    875.14/1,312.17 = 509.74/x
  3. Step 3: Cross multiply
    875.14x = 1,312.17 × 509.74
  4. Step 4: Simplify right side
    875.14x = 668,865.54
  5. Step 5: Solve for x
    x = 668,865.54/875.14
  6. Step 6: Final answer
    x = 764.30

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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.