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Finding the Fourth Proportional to 973.90, 1,344.02 and 581.15

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Solution

The fourth proportional to 973.90, 1,344.02 and 581.15 is: 802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.90 : 1,344.02 = 581.15 : x
  2. Step 2: Convert to fraction form
    973.90/1,344.02 = 581.15/x
  3. Step 3: Cross multiply
    973.90x = 1,344.02 × 581.15
  4. Step 4: Simplify right side
    973.90x = 781,075.53
  5. Step 5: Solve for x
    x = 781,075.53/973.90
  6. Step 6: Final answer
    x = 802.01

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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.