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Finding the Fourth Proportional to 581.12, 875.31 and 530.08

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Solution

The fourth proportional to 581.12, 875.31 and 530.08 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.12 : 875.31 = 530.08 : x
  2. Step 2: Convert to fraction form
    581.12/875.31 = 530.08/x
  3. Step 3: Cross multiply
    581.12x = 875.31 × 530.08
  4. Step 4: Simplify right side
    581.12x = 463,984.32
  5. Step 5: Solve for x
    x = 463,984.32/581.12
  6. Step 6: Final answer
    x = 798.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.