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Finding the Fourth Proportional to 954.69, 1,317.38 and 561.57

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Solution

The fourth proportional to 954.69, 1,317.38 and 561.57 is: 774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.69 : 1,317.38 = 561.57 : x
  2. Step 2: Convert to fraction form
    954.69/1,317.38 = 561.57/x
  3. Step 3: Cross multiply
    954.69x = 1,317.38 × 561.57
  4. Step 4: Simplify right side
    954.69x = 739,798.28
  5. Step 5: Solve for x
    x = 739,798.28/954.69
  6. Step 6: Final answer
    x = 774.91

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Half scale
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Double scale
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1.5x scale

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.