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Finding the Fourth Proportional to 970.17, 1,337.88 and 783.53

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Solution

The fourth proportional to 970.17, 1,337.88 and 783.53 is: 1,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.17 : 1,337.88 = 783.53 : x
  2. Step 2: Convert to fraction form
    970.17/1,337.88 = 783.53/x
  3. Step 3: Cross multiply
    970.17x = 1,337.88 × 783.53
  4. Step 4: Simplify right side
    970.17x = 1,048,269.12
  5. Step 5: Solve for x
    x = 1,048,269.12/970.17
  6. Step 6: Final answer
    x = 1,080.50

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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.