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Finding the Fourth Proportional to 558.32, 831.82 and 530.78

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Solution

The fourth proportional to 558.32, 831.82 and 530.78 is: 790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 831.82 = 530.78 : x
  2. Step 2: Convert to fraction form
    558.32/831.82 = 530.78/x
  3. Step 3: Cross multiply
    558.32x = 831.82 × 530.78
  4. Step 4: Simplify right side
    558.32x = 441,513.42
  5. Step 5: Solve for x
    x = 441,513.42/558.32
  6. Step 6: Final answer
    x = 790.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.