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Finding the Fourth Proportional to 747.10, 1,032.09 and 590.77

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Solution

The fourth proportional to 747.10, 1,032.09 and 590.77 is: 816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.10 : 1,032.09 = 590.77 : x
  2. Step 2: Convert to fraction form
    747.10/1,032.09 = 590.77/x
  3. Step 3: Cross multiply
    747.10x = 1,032.09 × 590.77
  4. Step 4: Simplify right side
    747.10x = 609,727.81
  5. Step 5: Solve for x
    x = 609,727.81/747.10
  6. Step 6: Final answer
    x = 816.13

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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.