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Finding the Fourth Proportional to 875.34, 1,207.68 and 580.32

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Solution

The fourth proportional to 875.34, 1,207.68 and 580.32 is: 800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,207.68 = 580.32 : x
  2. Step 2: Convert to fraction form
    875.34/1,207.68 = 580.32/x
  3. Step 3: Cross multiply
    875.34x = 1,207.68 × 580.32
  4. Step 4: Simplify right side
    875.34x = 700,840.86
  5. Step 5: Solve for x
    x = 700,840.86/875.34
  6. Step 6: Final answer
    x = 800.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.