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Finding the Fourth Proportional to 747.34, 1,032.26 and 590.20

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Solution

The fourth proportional to 747.34, 1,032.26 and 590.20 is: 815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.34 : 1,032.26 = 590.20 : x
  2. Step 2: Convert to fraction form
    747.34/1,032.26 = 590.20/x
  3. Step 3: Cross multiply
    747.34x = 1,032.26 × 590.20
  4. Step 4: Simplify right side
    747.34x = 609,231.74
  5. Step 5: Solve for x
    x = 609,231.74/747.34
  6. Step 6: Final answer
    x = 815.21

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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.