Home / 597.15-823.38-384.18

Finding the Fourth Proportional to 597.15, 823.38 and 384.18

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Solution

The fourth proportional to 597.15, 823.38 and 384.18 is: 529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.15 : 823.38 = 384.18 : x
  2. Step 2: Convert to fraction form
    597.15/823.38 = 384.18/x
  3. Step 3: Cross multiply
    597.15x = 823.38 × 384.18
  4. Step 4: Simplify right side
    597.15x = 316,326.13
  5. Step 5: Solve for x
    x = 316,326.13/597.15
  6. Step 6: Final answer
    x = 529.73

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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.