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Finding the Fourth Proportional to 753.98, 1,038.34 and 707.10

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Solution

The fourth proportional to 753.98, 1,038.34 and 707.10 is: 973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.98 : 1,038.34 = 707.10 : x
  2. Step 2: Convert to fraction form
    753.98/1,038.34 = 707.10/x
  3. Step 3: Cross multiply
    753.98x = 1,038.34 × 707.10
  4. Step 4: Simplify right side
    753.98x = 734,210.21
  5. Step 5: Solve for x
    x = 734,210.21/753.98
  6. Step 6: Final answer
    x = 973.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.