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Finding the Fourth Proportional to 657.02, 904.32 and 460.19

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Solution

The fourth proportional to 657.02, 904.32 and 460.19 is: 633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 904.32 = 460.19 : x
  2. Step 2: Convert to fraction form
    657.02/904.32 = 460.19/x
  3. Step 3: Cross multiply
    657.02x = 904.32 × 460.19
  4. Step 4: Simplify right side
    657.02x = 416,159.02
  5. Step 5: Solve for x
    x = 416,159.02/657.02
  6. Step 6: Final answer
    x = 633.40

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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.