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Finding the Fourth Proportional to 753.16, 1,038.99 and 473.25

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Solution

The fourth proportional to 753.16, 1,038.99 and 473.25 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.16 : 1,038.99 = 473.25 : x
  2. Step 2: Convert to fraction form
    753.16/1,038.99 = 473.25/x
  3. Step 3: Cross multiply
    753.16x = 1,038.99 × 473.25
  4. Step 4: Simplify right side
    753.16x = 491,695.64
  5. Step 5: Solve for x
    x = 491,695.64/753.16
  6. Step 6: Final answer
    x = 652.84

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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.