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Finding the Fourth Proportional to 985.66, 1,470.19 and 917.62

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Solution

The fourth proportional to 985.66, 1,470.19 and 917.62 is: 1,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.66 : 1,470.19 = 917.62 : x
  2. Step 2: Convert to fraction form
    985.66/1,470.19 = 917.62/x
  3. Step 3: Cross multiply
    985.66x = 1,470.19 × 917.62
  4. Step 4: Simplify right side
    985.66x = 1,349,071.16
  5. Step 5: Solve for x
    x = 1,349,071.16/985.66
  6. Step 6: Final answer
    x = 1,368.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.