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Finding the Fourth Proportional to 929.77, 1,282.56 and 598.24

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Solution

The fourth proportional to 929.77, 1,282.56 and 598.24 is: 825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.77 : 1,282.56 = 598.24 : x
  2. Step 2: Convert to fraction form
    929.77/1,282.56 = 598.24/x
  3. Step 3: Cross multiply
    929.77x = 1,282.56 × 598.24
  4. Step 4: Simplify right side
    929.77x = 767,278.69
  5. Step 5: Solve for x
    x = 767,278.69/929.77
  6. Step 6: Final answer
    x = 825.23

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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.