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Finding the Fourth Proportional to 583.50, 875.55 and 378.01

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Solution

The fourth proportional to 583.50, 875.55 and 378.01 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 875.55 = 378.01 : x
  2. Step 2: Convert to fraction form
    583.50/875.55 = 378.01/x
  3. Step 3: Cross multiply
    583.50x = 875.55 × 378.01
  4. Step 4: Simplify right side
    583.50x = 330,965.71
  5. Step 5: Solve for x
    x = 330,965.71/583.50
  6. Step 6: Final answer
    x = 567.21

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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.