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Finding the Fourth Proportional to 1,030.49, 1,423.96 and 750.24

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Solution

The fourth proportional to 1,030.49, 1,423.96 and 750.24 is: 1,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.49 : 1,423.96 = 750.24 : x
  2. Step 2: Convert to fraction form
    1,030.49/1,423.96 = 750.24/x
  3. Step 3: Cross multiply
    1,030.49x = 1,423.96 × 750.24
  4. Step 4: Simplify right side
    1,030.49x = 1,068,308.51
  5. Step 5: Solve for x
    x = 1,068,308.51/1,030.49
  6. Step 6: Final answer
    x = 1,036.70

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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.