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Finding the Fourth Proportional to 747.63, 1,030.05 and 526.23

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Solution

The fourth proportional to 747.63, 1,030.05 and 526.23 is: 725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.63 : 1,030.05 = 526.23 : x
  2. Step 2: Convert to fraction form
    747.63/1,030.05 = 526.23/x
  3. Step 3: Cross multiply
    747.63x = 1,030.05 × 526.23
  4. Step 4: Simplify right side
    747.63x = 542,043.21
  5. Step 5: Solve for x
    x = 542,043.21/747.63
  6. Step 6: Final answer
    x = 725.02

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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.