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Finding the Fourth Proportional to 1,007.40, 1,389.70 and 593.32

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Solution

The fourth proportional to 1,007.40, 1,389.70 and 593.32 is: 818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.40 : 1,389.70 = 593.32 : x
  2. Step 2: Convert to fraction form
    1,007.40/1,389.70 = 593.32/x
  3. Step 3: Cross multiply
    1,007.40x = 1,389.70 × 593.32
  4. Step 4: Simplify right side
    1,007.40x = 824,536.80
  5. Step 5: Solve for x
    x = 824,536.80/1,007.40
  6. Step 6: Final answer
    x = 818.48

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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.